$$ \begin{aligned} 5x+24 &= x-20&& \text{move the $ \color{blue}{ x } $ to the left side and $ \color{blue}{ 24 }$ to the right} \\[1 em]5x-x &= -20-24&& \text{simplify left and right hand side} \\[1 em]4x &= -44&& \text{ divide both sides by $ 4 $ } \\[1 em]x &= -\frac{44}{4}&& \\[1 em]x &= -11&& \\[1 em] \end{aligned} $$
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