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In a large mixing bowl stir together the 2 cups flour and salt. Make a well in the center of the dry mixture. In a small mixing bowl combine egg white, water, and oil.
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Add to the dry mixture. Mix well.
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Sprinkle kneading surface with 1 Tbsp of the remaining flour.
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Turn dough out onto floured surface. Knead till dough is smooth and elastic (8 to 10 minutes total), adding 1 to 2 Tbsp additional flour as needed.
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Cover and let the dough rest for 10 minutes.
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Divide dough into 4 equal portions.
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On a lightly floured surface, roll each portion into a 12" square, (about 1/16" thick). Let stand, uncovered, about 20 minutes.
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Loosely roll up dough jelly-roll style; cut into 1/4" wide strips.
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Shake the strands to separate and cut into 2 to 3" lengths.
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If using a pasta machine, pass each portion through machine according to manufacturer's directions till dough is 1/16" thick.
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Cut into 1/4" wide strips.
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Cut strips into 2 to 3" lengths.
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To store cut noodles, spread them on a wire cooling rack.
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Let noodles dry overnight or till completely dry; place in an airtight container and refrigerate for up to 3 days.
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Or, dry the noodles for at least 1 hour and seal in a freezer bag or freezer container; freeze up to 8 months.
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Cook noodles for 1 1/2 to 2 minutes or till tender but still firm, allowing a few more minutes for dried or frozen noodles.
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Drain noodles well.