$$ \begin{aligned} -6+6x &= -6\cdot(1-8x)-3x&& \text{simplify left and right hand side} \\[1 em]6x-6 &= -(6-48x)-3x&& \\[1 em]6x-6 &= -6+48x-3x&& \\[1 em]6x-6 &= 45x-6&& \text{move the $ \color{blue}{ 45x } $ to the left side and $ \color{blue}{ -6 }$ to the right} \\[1 em]6x-45x &= -6+6&& \text{simplify left and right hand side} \\[1 em]-39x &= 0&& \text{ divide both sides by $ -39 $ } \\[1 em]x &= \frac{0}{-39}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$

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