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Preheat the oven to 350 F.
Grease baking sheets or line with parchment paper.
In a mixing bowl with an electric mixer, beat the butter and sugar together until light and fluffy. Beat in the vanilla and egg.
In a bowl, combine the dry ingredients; add to creamed mixture alternately with milk, blending well.
Fold in the chopped nuts or other additions.
Drop from a teaspoon or cookie scoop onto the prepared baking sheets. Bake for about 12 minutes, or until set.
Makes about 3 dozen cookies, depending on size.