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Meanwhile, Larry J. Sabato, director of the University of Virginia’s Center for Politics, looking at all the competitive races, said Republicans likely would net 47 House seats and are poised to win eight or nine Senate seats, leaving them just shy of the 10 needed for outright control of the chamber.

Mr. Sabato also said Democrats will lose a net of eight governorships and Republicans will gain control of eight to 12 legislative chambers.

“Many observers find it amazing that the less-liked party is on the verge of triumphing over the better-liked party,” Mr. Sabato said in his analysis.

“Nevertheless, in the time-honored American way, voters will be inclined to punish the party in power by checking and balancing it with more members from the opposition party.”