$$-22x+17 = 5-6x+16x$$

$$ \begin{aligned} -22x+17 &= 5-6x+16x&& \text{simplify right side} \\[1 em]-22x+17 &= 10x+5&& \text{move the $ \color{blue}{ 10x } $ to the left side and $ \color{blue}{ 17 }$ to the right} \\[1 em]-22x-10x &= 5-17&& \text{simplify left and right hand side} \\[1 em]-32x &= -12&& \text{ divide both sides by $ -32 $ } \\[1 em]x &= \frac{-12}{-32}&& \\[1 em]x &= \frac{3}{8}&& \\[1 em] \end{aligned} $$

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