$$ \begin{aligned} -8(8x-1)-9 &= -7(7x+6)-5&& \text{simplify left and right hand side} \\[1 em]-(64x-8)-9 &= -(49x+42)-5&& \\[1 em]-64x+8-9 &= -49x-42-5&& \\[1 em]-64x-1 &= -49x-47&& \text{move the $ \color{blue}{ -49x } $ to the left side and $ \color{blue}{ -1 }$ to the right} \\[1 em]-64x+49x &= -47+1&& \text{simplify left and right hand side} \\[1 em]-15x &= -46&& \text{ divide both sides by $ -15 $ } \\[1 em]x &= \frac{-46}{-15}&& \\[1 em]x &= \frac{46}{15}&& \\[1 em] \end{aligned} $$
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