WASHINGTON — Elections this week that energized Democrats and angered President Donald Trump have cast a chill over efforts to end the record-breaking government shutdown, raising fresh doubts about the possibility of a breakthrough despite the punishing toll of federal closures on the country.

Trump has increased pressure on Senate Republicans to end the shutdown — now at 37 days, the longest in U.S. history — calling it a “big factor, negative” in the poor GOP showings across the country. Democrats saw Trump’s comments as a reason to hold firm, believing his involvement in talks could lead to a deal on extending health care subsidies, a key sticking point to win their support.

Trump is refusing to meet with Democrats, insisting they must open the government first. But complicating the

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