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Republican lawmakers said the president’s latest defense of Obamacare shows a White House in denial about the law’s harmful impact on the economy.

“The Rose Garden isn’t big enough to fit the millions of American families receiving letters in the mail that the health insurance they like is being canceled or that their premiums and out-of-pocket expenses are going up yet again,” said House Majority Leader Eric Cantor, Virginia Republican. “The fact that the president is bringing in outside experts to work on the Obamacare website is little comfort to the thousands of workers, including those at more than 100 school districts across the country, that have had their hours cut because of Obamacare mandates.”

Under the law, large companies must provide health insurance to employees who work more than 30 hours a week, or pay a fine. Growing evidence shows that the requirement is causing some employers to cut workers’ hours.

Rep. Diane Black, Tennessee Republican and a registered nurse, said the president is ignoring examples of people who will pay higher premiums or higher deductibles under Obamacare.

“The president’s breathtakingly naive speech today will do nothing to ease the pain of millions of Americans who are suffering as a result of his ‘signature domestic policy achievement,’” she said. “Obamacare is not a ‘good product,’ nor is it the product he promised it would be.”

Although tech specialists say the website’s poor design is primarily responsible for its failure, Mr. Obama continued to portray the problems as too much demand and uncertainty caused by partisan attacks.

“I’m sure that given the problems with the website so far, they’re going to be looking to go after it even harder,” he said of Republican lawmakers. “And let’s admit it — with the website not working as well as it needs to work, that makes a lot of supporters nervous because they know how it’s been subject to so much attack, the Affordable Care Act generally.”

Mr. Obama said the “essence of the law, the health insurance that’s available to people, is working just fine.”

The president said nearly 20 million people have visited and about 500,000 people have applied for insurance since Oct. 1. But he didn’t say how many people have purchased policies; the administration has promised to release that number in mid-November.