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Combine butter, sugar, egg and vanilla in a large bowl with mixer on medium speed until smooth and fluffy, 4 minutes.
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Stir together flour and salt in a small bowl.
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Add to butter mixture and beat on low speed until combined.
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To shape cookies: For cookie press, spoon dough into press.
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Form desired shapes on ungreased cookie sheets.
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For slice and bake cookies, refrigerate dough, wrapped, 45 minute.
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Divide dough in half.
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Shape each half on wax paper into 6" long logs; wrap.
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Chill in refrigerator 1 hour or in freezer 30 minutes.
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Slice cookies 1/8" thick; place on ungreased cookie sheets.
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Bake at 400° for 7-9 minutes, depending on shape or until set and lightly browned around edges; tops should not brown.
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Let stand on sheet 1 minute.
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Transfer with metal spatula to wire rack to cool.