$$ \begin{aligned} \frac{5}{9}(x-59) &= 0&& \text{simplify left side} \\[1 em]\frac{5x-295}{9} &= 0&& \text{multiply ALL terms by } \color{blue}{ 9 }. \\[1 em]9 \cdot \frac{5x-295}{9} &= 9\cdot0&& \text{cancel out the denominators} \\[1 em]5x-295 &= 0&& \text{ move the constants to the right } \\[1 em]5x &= 295&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= \frac{295}{5}&& \\[1 em]x &= 59&& \\[1 em] \end{aligned} $$

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