$$ \begin{aligned} 4(8x-1) &= 2(2x-2)&& \text{simplify left and right hand side} \\[1 em]32x-4 &= 4x-4&& \text{move the $ \color{blue}{ 4x } $ to the left side and $ \color{blue}{ -4 }$ to the right} \\[1 em]32x-4x &= -4+4&& \text{simplify left and right hand side} \\[1 em]28x &= 0&& \text{ divide both sides by $ 28 $ } \\[1 em]x &= \frac{0}{28}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$

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