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Pre-heat oven to 400 degrees.
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In deep 12-inch skillet, over medium-high heat, melt butter.
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Add apples, sugar, cornstarch, cinnamon, and salt.
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Cook 8-12 minutes, stirring, until apples are tender.
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Remove from heat and stir in lemon juice.
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Pour filling into uncooked pie shell, that has been brushed with egg white.
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Add lattice top.
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Brush top with egg white and sprinkle with cinnamon sugar.
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Cook pie 15 minutes, then turn oven down to 350.
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Bake an additional 25-30 minutes, until the crust is a golden brown.
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Remove from oven and cool on rack for at least 15 minutes before serving.
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Refrigerate any leftovers.