Preheat the oven to 410 degrees.

In a large mixing bowl, cream together the butter, brown sugar, and sugar. Mix until light and fluffy.

Add eggs and vanilla and mix well to combine.

Stir in the cake flour, all purpose flour, baking soda, and salt. Mix until just combined.

Gently stir in chocolate chips and walnuts.

Using a 4 tablespoon cookie scoop, scoop large cookies onto a cookie sheet and press down slightly. You can also use two of the large scoops, stack them, and then press down gently.

Bake large cookies for 9-12 minutes or extra large cookies for 11-14 minutes or until the tops are golden brown.

Remove from oven and let them cool on the hot baking sheet for 10-15 minutes or until they have set.