$$ \begin{aligned} 4(x-1) &= 3x+2&& \text{simplify left side} \\[1 em]4x-4 &= 3x+2&& \text{move the $ \color{blue}{ 3x } $ to the left side and $ \color{blue}{ -4 }$ to the right} \\[1 em]4x-3x &= 2+4&& \text{simplify left and right hand side} \\[1 em]x &= 6&& \\[1 em]x &= 6&& \\[1 em] \end{aligned} $$
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