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President Trump and British Prime Minister Theresa May at last year's NATO summit. Photo: Justin Tallis/AFP/Getty Images

You've already read a hundred stories about President Trump's clashes with some of America's closest allies at the G7 summit in Canada. But we've got new details from his private conversations with heads of state that have put some of these leaders on edge leading into next month's NATO summit.

What we're hearing: In one extraordinary riff during his meeting with the G7 heads of state earlier this month in Quebec, Trump told the other leaders: "NATO is as bad as NAFTA." An official read this quote to me from notes transcribed from the private meeting.

Behind the scenes: Trump made the comment after telling the G7 leaders that Crimea probably should belong to Russia because everyone there speaks Russian, the source added. Trump then went on his usual riff about Germany not paying its fair share of defense spending, said the Europeans weren't paying enough and that the U.S. is being ripped off.

  • Then Trump said of the NATO Summit on July 11-12 in Brussels: "It will be an interesting summit. NATO is as bad as NAFTA. It's much too costly for the U.S."

Why this matters: NATO member states are worried about Russian aggression and they want an unambiguous sign that America has their back. By linking NATO to NAFTA — a trade deal that Trump considers an unmitigated disaster for America — Trump reinforced some of the Europeans' worst fears that he'll take a purely transactional approach to next month's summit.

  • Officials from four NATO member countries have told me they're worried Trump undercut the shared values and commitments of the NATO alliance by spending most of his time bashing NATO members for not "paying enough" and meeting their defense spending commitments.
  • Trump is broadly correct about the defense spending. Many NATO members have been shirking their responsibilities and are nowhere near their promise to spend 2 percent of their Gross Domestic Product on defense.
  • But, as one senior European official put it to me: Trump could do a victory lap of sorts at next month's summit, instead of bashing NATO members (which would please Putin.)
  • Trump, the official said, could point out that NATO members have been increasing their defense spending, and say that it's only because of his pressure. The official said he hoped — but wasn't confident — Trump would take this gentler, more diplomatic route.

When Axios shared this reporting with the White House, officials did not attempt to deny these specific comments that were relayed from notes from the G7 heads of state meeting. But NSC spokesman Garrett Marquis said: “The president engaged in a constructive dialogue with his counterparts at G7. Any allegations otherwise are simply wrong.”

1 fun thing: In the same meeting, Trump cracked to the leaders about what was then his upcoming Singapore summit with Kim Jong-un. "It's like baseball," Trump told the G7 leaders, according to the source reading from the meeting notes. "You never know if you are going to hit the ball."

Go deeper:

Get more stories like this by signing up for my weekly political lookahead newsletter, Axios Sneak Peek. 

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Study: Cost of carbon emissions measured in lives lost is high

Data: Our World in Data; Chart: Axios Visuals

Adding projected heat-related deaths into cost-benefit analysis of federal rules would tilt policymaking in favor of more aggressive carbon emissions cuts, a new study finds.

Why it matters: The social cost of carbon helps determine the outcome of cost-benefit analyses that underpin federal regulations. Adding in global warming's potential to cause more heat-related fatalities would tilt the policy calculus from supporting a gradual phaseout of emissions starting in 2050, to fully decarbonizing by the same year.

Updated 2 hours ago - Sports

In photos: Tokyo Olympics day 6 highlights

An underwater view of swimmers including Team USA's Caeleb Dressel (R) in the final of the Olympic Tokyo Games men's 100m freestyle on July 29. Photo: François-Xavier Marit/AFP via Getty Images

There's been plenty of Olympics drama on day six of the Tokyo Games Thursday — notably China's women's swimming team beating the U.S. and Australia in the record-setting 4x200-meter freestyle relay.

The big picture: Katie Ledecky helped the U.S. win silver, which also beat the previous world record smashed by China's team. Team USA grabbed two more swimming gold medals, when Caeleb Dressel won the men's 100m freestyle and Bobby Finke triumphed in the first men's Olympic 800m freestyle.

Updated 2 hours ago - Sports

Olympics dashboard

Team USA's Simone Biles during the women's team final on day four of the Tokyo 2020 Olympic Games at Ariake Gymnastics Centre on Tuesday in Japan. Photo: Fred Lee/Getty Images

🤸🏾‍♀️: Simone Biles reacts to "love and support" after withdrawing from all-around gymnastics and team finals, citing her mental health

🏊‍♂️: Caeleb Dressel wins gold in men's 100m freestyle —Bobby Finke wins gold in first men's Olympic 800m freestyle

📷: In photos: Tokyo Olympics day 6 highlights

🗓: The Olympic events to watch today

🎾: "This one sucks more than the others," Naomi Osaka says on upset loss

🏃‍: Female Olympians push back against double standard in uniforms

Go deeper: Full Axios coverage - Medal tracker