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Preheat the oven to 375 F.
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Grease 2 baking sheets or cover with parchment paper.
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In a medium bowl, mix the flour, salt, and baking powder.
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Cut the butter into the flour mixture until the mixture resembles fine crumbs.
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Add the egg and 2 tablespoons of the milk.
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Mix to make a stiff dough, adding the remaining milk, 1 tablespoon at a time, if necessary.
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Gather the dough into a ball, flatten it slightly, and place on a lightly floured surface and roll the dough out to 1/8inch thickness.
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Using a 2-inch round cookie cutter, cut out circles from the dough; place on the prepared baking sheets, about 2 inches apart.
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Re-roll the trimmings and cut out more circles.
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Continue until the dough is used up.
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Brush the crackers with the beaten egg white, then sprinkle evenly with sesame seeds.
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Bake for 15 minutes or until light brown.
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Remove to a wire rack to cool.
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Makes about 72 crackers.
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The Great Holiday Baking Book.