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Lt. Col. Ralph Peters (Ret.) said President Donald Trump struck the right tone with his stark warning to North Korea during his five-country Asia tour, but the real challenges lie ahead.

"Do not underestimate us. And do not try us,” Trump said in a speech on Tuesday. "The weapons you are acquiring are not making you safer, they are putting your regime in grave danger.”

On "America's Newsroom," Peters said Trump was more restrained and statesmanlike in his speech, which he said was only superficially directed at North Korea.

"It was aimed at South Korea, at Japan, at our allies in a global audience," Peters said. "He was portraying the United States as strong, as capable and ready, but also reasonable and anxious for a peaceful solution if one can be found."

He said Trump's performance on his Asia trip so far has been very reassuring, to both the U.S. and that global audience.

Peters noted, however, that the real test of the trip begins today with Trump's two-day visit to Beijing and then an expected meeting with Russian President Vladimir Putin in Vietnam later this week.

He said Trump is coming face-to-face with two "very formidable opponents" in Putin and Chinese President Xi Jinping.

"They make offers that sound really good, we sucker for them and nothing changes or it gets worse for us," Peters said. "He's our president, and every American should hope that he succeeds."

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