$$ \begin{aligned} 8(x+10) &= 20x+74&& \text{simplify left side} \\[1 em]8x+80 &= 20x+74&& \text{move the $ \color{blue}{ 20x } $ to the left side and $ \color{blue}{ 80 }$ to the right} \\[1 em]8x-20x &= 74-80&& \text{simplify left and right hand side} \\[1 em]-12x &= -6&& \text{ divide both sides by $ -12 $ } \\[1 em]x &= \frac{-6}{-12}&& \\[1 em]x &= \frac{1}{2}&& \\[1 em] \end{aligned} $$
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