Preheat the oven to 350F.

Beat the butter and both sugars in a large mixing bowl until light

and fluffy. Add the egg and vanilla extract and mix well.

Mix the flour, salt, and baking soda in another bowl. Add the dry

ingredients to the batter and mix until well blended. Stir in the

chocolate chips and walnuts.

Drop the dough by small scoops 2 to 3 inches apart on an ungreased

cookie sheet. Flatten each scoop with the back of a spoon to about 3

inches in diameter.

Bake until the centers are still slightly soft to the touch, 11 to

14 minutes. Let cool on the cookie sheet for 5 minutes, then transfer

to racks to cool completely.