$$ \begin{aligned} 8x+25-3x &= 7x+16&& \text{simplify left side} \\[1 em]5x+25 &= 7x+16&& \text{move the $ \color{blue}{ 7x } $ to the left side and $ \color{blue}{ 25 }$ to the right} \\[1 em]5x-7x &= 16-25&& \text{simplify left and right hand side} \\[1 em]-2x &= -9&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= \frac{-9}{-2}&& \\[1 em]x &= \frac{9}{2}&& \\[1 em] \end{aligned} $$
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