$$ \begin{aligned} 4(-4x-6) &= 3(-6x-3)&& \text{simplify left and right hand side} \\[1 em]-16x-24 &= -18x-9&& \text{move the $ \color{blue}{ -18x } $ to the left side and $ \color{blue}{ -24 }$ to the right} \\[1 em]-16x+18x &= -9+24&& \text{simplify left and right hand side} \\[1 em]2x &= 15&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{15}{2}&& \\[1 em] \end{aligned} $$

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