1. **State the problem:** Simplify the expression $$-4(9x + 2) + 6(7 - 8x)$$ and find which multiple choice answer matches. 2. **Use the distributive property:** Multiply each term inside the parentheses by the number outside. $$-4(9x + 2) = -4 \times 9x + (-4) \times 2 = -36x - 8$$ $$6(7 - 8x) = 6 \times 7 + 6 \times (-8x) = 42 - 48x$$ 3. **Rewrite the expression with distributed terms:** $$-36x - 8 + 42 - 48x$$ 4. **Combine like terms:** Group the $x$ terms and the constant terms. $$(-36x - 48x) + (-8 + 42)$$ 5. **Simplify each group:** $$-36x - 48x = -84x$$ $$-8 + 42 = 34$$ 6. **Final simplified expression:** $$-84x + 34$$ 7. **Answer:** The correct choice is **-84x + 34**. This means the answer is the second option.