$$ \begin{aligned} 7x-1 &= 4x+8&& \text{move the $ \color{blue}{ 4x } $ to the left side and $ \color{blue}{ -1 }$ to the right} \\[1 em]7x-4x &= 8+1&& \text{simplify left and right hand side} \\[1 em]3x &= 9&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{9}{3}&& \\[1 em]x &= 3&& \\[1 em] \end{aligned} $$
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