1. **State the problem:** Simplify the expression $(4-7) + (-10)$. 2. **Apply the order of operations:** First, evaluate the expression inside the parentheses. 3. Calculate $4 - 7$: $$4 - 7 = -3$$ 4. Substitute back into the expression: $$-3 + (-10)$$ 5. Adding a negative number is the same as subtracting: $$-3 + (-10) = -3 - 10$$ 6. Perform the subtraction: $$-3 - 10 = -13$$ **Final answer:** $$-13$$