Simplify Expression 2F99B1

1. **State the problem:** Simplify the algebraic expression $$-2(6x - 15) + 5(-x + 9) - 3(-4x + 1)$$. 2. **Apply the distributive property:** Multiply each term inside the parentheses by the factor outside. $$-2(6x - 15) = -2 \times 6x + (-2) \times (-15) = -12x + 30$$ $$5(-x + 9) = 5 \times (-x) + 5 \times 9 = -5x + 45$$ $$-3(-4x + 1) = -3 \times (-4x) + (-3) \times 1 = 12x - 3$$ 3. **Rewrite the expression with distributed terms:** $$-12x + 30 - 5x + 45 + 12x - 3$$ 4. **Combine like terms:** Combine the $$x$$ terms: $$-12x - 5x + 12x = (-12 - 5 + 12)x = (-17 + 12)x = -5x$$ Combine the constant terms: $$30 + 45 - 3 = 72$$ 5. **Final simplified expression:** $$-5x + 72$$ 6. **Select the correct response:** The simplified expression matches the choice $$-5x + 72$$.