$$ \begin{aligned} 17x-123-x-52 &= 125-11x&& \text{simplify left and right hand side} \\[1 em]16x-175 &= -11x+125&& \text{move the $ \color{blue}{ -11x } $ to the left side and $ \color{blue}{ -175 }$ to the right} \\[1 em]16x+11x &= 125+175&& \text{simplify left and right hand side} \\[1 em]27x &= 300&& \text{ divide both sides by $ 27 $ } \\[1 em]x &= \frac{300}{27}&& \\[1 em]x &= \frac{100}{9}&& \\[1 em] \end{aligned} $$

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