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Place water, salt, sugar, flour and yeast in the bread machine pan in the order recommended by the manufacturer. Select Dough setting.
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When cycle is complete, let dough rest on a lightly floured surface. Meanwhile, in a large pot bring 3 quarts of water to a boil. Stir in 3 tablespoons of sugar.
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Cut dough into 9 equal pieces, and roll each piece into a small ball. Flatten balls.
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Poke a hole in the middle of each with your thumb. Twirl the dough on your finger or thumb to enlarge the hole, and to even out the dough around the hole.
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Cover bagels with a clean cloth, and let rest for 10 minutes.
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Sprinkle an ungreased baking sheet with cornmeal. Carefully transfer bagels to boiling water. Boil for 1 minute, turning half way through. Drain briefly on clean towel. Arrange boiled bagels on baking sheet. Glaze tops with egg white, and sprinkle with your choice of toppings.
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Bake in a preheated 375°F (190°C) oven for 20 to 25 minutes, until well browned.