1. **State the problem:** Calculate $120 \div 6 - 10 + 25$. 2. **Recall the order of operations:** Division and multiplication are performed before addition and subtraction. 3. **Perform the division first:** $$120 \div 6 = 20$$ 4. **Substitute back into the expression:** $$20 - 10 + 25$$ 5. **Perform subtraction and addition from left to right:** $$20 - 10 = 10$$ $$10 + 25 = 35$$ 6. **Final answer:** $$35$$