The Supreme Court closed its term Monday with a sweeping affirmation of abortion rights, striking down parts of a Texas law that had caused clinics to close and dimming the hopes of antiabortion forces for a wave of similar measures in other states.

By a 5-3 vote, the court found Texas placed an “undue burden” on women seeking abortions by requiring that clinics meet the standards of ambulatory surgery centers, and that their physicians maintain admitting privileges at a hospital within 30 miles.

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