1. **State the problem:** Simplify the expression $10 - (1 + 3) + 7$. 2. **Apply the order of operations:** First, simplify inside the parentheses. $$1 + 3 = 4$$ 3. **Rewrite the expression:** $$10 - 4 + 7$$ 4. **Perform subtraction and addition from left to right:** $$10 - 4 = 6$$ $$6 + 7 = 13$$ 5. **Final answer:** $$13$$ The expression simplifies to 13.