$$ \begin{aligned} -7(2x+8) &= 3(-3x-2)&& \text{simplify left and right hand side} \\[1 em]-(14x+56) &= -9x-6&& \\[1 em]-14x-56 &= -9x-6&& \text{move the $ \color{blue}{ -9x } $ to the left side and $ \color{blue}{ -56 }$ to the right} \\[1 em]-14x+9x &= -6+56&& \text{simplify left and right hand side} \\[1 em]-5x &= 50&& \text{ divide both sides by $ -5 $ } \\[1 em]x &= -\frac{50}{5}&& \\[1 em]x &= -10&& \\[1 em] \end{aligned} $$
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