In large bowl, cream butter, shortening and sugars Beat in egg and vanilla. Combine flour, baking soda and salt; stir into butter mixture, mixing well. Stir in chocolate chips and nuts.
Drop by teaspoonfuls, 2" apart, onto greased baking sheets. Bake in 350F. oven 8-10 minutes, just until edges are golden (centers will still be soft). Remove to wire racks to cool. Makes about 3 dozen cookies.
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