Preheat oven to 350 degrees F.
Beat together butter and cheddar in a bowl with an electric mixer until smooth, then beat in remaining ingredients.
Roll rounded teaspoons of dough into balls and arrange 3 inches apart on buttered baking sheets. Flatten each ball into a 1 1/2-inch disk and bake in batches in middle of oven until golden, 15 to 18 minutes.
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