$$ \begin{aligned} 32(4x-1)-3x &= 54-(x+2)&& \text{simplify left and right hand side} \\[1 em]128x-32-3x &= 54-x-2&& \\[1 em]125x-32 &= -x+52&& \text{move the $ \color{blue}{ -x } $ to the left side and $ \color{blue}{ -32 }$ to the right} \\[1 em]125x+x &= 52+32&& \text{simplify left and right hand side} \\[1 em]126x &= 84&& \text{ divide both sides by $ 126 $ } \\[1 em]x &= \frac{84}{126}&& \\[1 em]x &= \frac{2}{3}&& \\[1 em] \end{aligned} $$

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