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Set oven to 350°F.
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Lightly grease a large baking sheet.
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In a large mixing bowl sift together flour, baking soda and salt.
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In the bowl of a mixer fitted with the paddle attachment, cream together butter, white sugar, and maple extract.
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Beat in brown sugar and peanut butter and continue to beat until smooth (about 2 minutes).
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Add in egg and beat for another 1-2 minutes.
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Reduce the speed and add in the dry ingredients in 3 additions, mixing well until a stiff dough forms.
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Shape the dough into small balls and place 2-inches apart on the prepared baking sheet.
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Press down with a fork to flatted.
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Bake for about 12-15 minutes or until golden brown.