1. **State the problem:** Use the box method to multiply and simplify the expression $(-6x + 3)(-6x + 2)$. 2. **Set up the box:** Create a 2x2 grid. Label the top with the terms of the first binomial: $-6x$ and $+3$. Label the left side with the terms of the second binomial: $-6x$ and $+2$. 3. **Fill in the boxes by multiplying:** - Top-left box: $(-6x) \times (-6x) = 36x^2$ - Top-right box: $3 \times (-6x) = -18x$ - Bottom-left box: $(-6x) \times 2 = -12x$ - Bottom-right box: $3 \times 2 = 6$ 4. **Combine like terms:** The middle terms are $-18x$ and $-12x$. Add them: $$-18x + (-12x) = -30x$$ 5. **Write the final simplified expression:** $$36x^2 - 30x + 6$$ **Answer:** $36x^2 - 30x + 6$