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Preheat oven to 350 degrees. Grease a regular-sized muffin tin. Set aside.
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Cream together the butter, brown sugar, and granulated sugar in mixer on medium-speed. Add in the egg and vanilla extract.
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Fold in the flour, salt, and baking soda.
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Scoop the cookie dough into the muffin tin, should be enough for 12. Bake for 15 minutes. Allow the cookie cups to cool.
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Place one unwrapped Reese's cup into the middle of the cookie cup and lightly push down. Remove from muffin tin.
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Store in an airtight container for up to one week.