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Cream together the granulated sugar, powdered sugar, butter, and cooking oil.
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Beat in eggs and vanilla.
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Add dry ingredients, (the next four ingredients) and mix to incorporate.
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Roll dough into small balls about the size of a quarter.
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With a heavy bottomed crystal vase with a decorative bottom, or other cookie press, dip in sugar to coat well.
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Smash each ball of dough so they are spread out and flat.
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Leaving an imprint and sugar.
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Bake in a 375 degree oven for 10 minutes, until the edges just start to turn slightly brown.
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Do not bake too long.
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Cool on the baking sheet briefly then transfer to wire rack to cool the rest of the way.