Making Chewy Brown Sugar Cookies is a simple process if you follow these steps:

1. Preheat the Oven: Preheat your oven to 350°F (175°C). Line two baking sheets with parchment paper.
2. Cream Butter and Sugars: In a large mixing bowl, cream together the softened butter, brown sugar, and granulated sugar until light and fluffy.
3. Add Egg and Vanilla: Mix in the egg and vanilla extract, ensuring it’s all combined.
4. Sift Dry Ingredients: In another bowl, sift together the flour, baking soda, and salt.
5. Combine Mixtures: Gradually add the dry ingredients to the wet mixture, stirring until just combined. Be careful not to overmix.
6. Scoop the Dough: Use a cookie scoop or tablespoon to drop rounded balls of dough onto the prepared baking sheets. Space them about 2 inches apart.
7. Bake: Place the baking sheets in the preheated oven and bake for 10-12 minutes, or until the edges are lightly golden.
8. Cool: Remove the cookies from the oven and let them cool on the baking sheets for about 5 minutes. Then, transfer them to wire racks to cool completely.

Following these steps will ensure that your cookies come out perfectly chewy and delicious.