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Set your bread machine to the dough cycle. Add all ingredients except the topping ingredients in the order called for by your machine.
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When the dough is ready , remove from machine and divide into 12 equal size balls. Take a small amount of dough from each ball and make a smaller ball.
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Grease or butter a muffin tin and place 1 large ball in each cup. Make a valley in the center of each and put a small ball in each depression.
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Cover with a dish cloth and let rise for 45 minutes.
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Preheat oven to 375 degrees.
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Lightly beat 1 egg with 1 teaspoon sugar and lightly brush each brioche.
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Bake at 375 degrees for 15-20 minutes or until lightly browned.