In a bowl, with mixer on medium, beat butter and sugar until fluffy; beat in egg and vanilla extract. On low, beat in flour and salt.
2.
Divide dough in half; shape each half into a 1/2-inch-thick disk. Wrap in plastic wrap; chill until firm.
3.
Heat oven to 350 degrees F.
4.
On floured surface, roll dough 1/8-inch thick; cut into shapes. Transfer to ungreased baking sheet(s). Bake until lightly golden around the edges, 10 minutes. Let cool 5 minutes on sheets; transfer to racks to cool. Decorate as desired; store in an airtight container up to 2 weeks, or freeze, undecorated, up to 3 months.
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