$$-7+4(-2x+1) = 3x+4(8x+2)+x$$

$$ \begin{aligned} -7+4(-2x+1) &= 3x+4(8x+2)+x&& \text{simplify left and right hand side} \\[1 em]-7-8x+4 &= 3x+32x+8+x&& \\[1 em]-8x-3 &= 35x+8+x&& \\[1 em]-8x-3 &= 36x+8&& \text{move the $ \color{blue}{ 36x } $ to the left side and $ \color{blue}{ -3 }$ to the right} \\[1 em]-8x-36x &= 8+3&& \text{simplify left and right hand side} \\[1 em]-44x &= 11&& \text{ divide both sides by $ -44 $ } \\[1 em]x &= -\frac{11}{44}&& \\[1 em]x &= -\frac{1}{4}&& \\[1 em] \end{aligned} $$

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