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The hosts continued to look dangerous as Javier Hernandez and Adnan Januzaj worked together in midfield before the teenager delivered the ball for Robin van Persie, but Mathieu Debuchy cleared the ball for the visitors.
After a strong spell for Newcastle, Yohan Cabaye unleashed an effort from 20 yards out, but the Frenchman's finish was wide.
David Moyes's side appealed for a penalty just a couple of minutes before the half-time whistle when Hernandez took a tumble in the box following a challenge from Fabricio Coloccini, but referee Andre Marriner was not interested in the home side's shouts.
David de Gea had to be alert in stoppage time as Debuchy found a gap to allow him to fire the ball towards the goal, but the keeper made a solid save, before denying the defender again moments later from a header.