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Set the oven to 375.
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Beat butter on medium to high in a large bowl for 30 seconds. Add the sugar and vanilla and beat until combined.
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Beat in the flour.
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Stir in sesame seeds and ground nuts (pecans or almonds).
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Alternative steps:.
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Either - divide dough, wrap and chill, then roll out and cut with cookie cutters.
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Or - chill while the oven preheats then drop by spoonfuls.
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Bake 7-11 minutes or until edges are lightly browned.
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Either top with chocolate chips part way through baking, or mix with 1/2 tsp shortening and melt to make a drizzle.