In a large bowl, combine the flour, sugar, baking soda, cinnamon and salt. Combine egg and apples; add to flour mixture and mix well. Stir in walnuts.
Transfer to 8 inch square greased pan. Bake at 350 for 25-30 minutes or until it tests done.
For sauce- ina small saucepan, combine brown sugar, flour and salt. Gradually add water; stir until smooth. Cook and stir over medium heat until mixture comes to a boil. Cook and stir 1-2 minutes longer or until thickened. Remove from the heat; stir in butter and vanilla. Serve with warm apple dessert.
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