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If two more Senate Republicans switch, Mr. Reid would no longer have the 60 votes he needs.

Senate Minority Leader Mitch McConnell said he was confident a deal will be worked out by the end of the week.

“We always respond to disasters in this country, and we’re going to respond to this one in an appropriate way,” the Kentucky Republican said Tuesday. “Exactly how we get from where we are to the end of the trail by Thursday night, I couldn’t tell you.”