$$ \begin{aligned} \frac{5}{9}+32 &= x&& \text{multiply ALL terms by } \color{blue}{ 9 }. \\[1 em]9\cdot\frac{5}{9}+9\cdot32 &= 9x&& \text{cancel out the denominators} \\[1 em]5+288 &= 9x&& \text{simplify left side} \\[1 em]293 &= 9x&& \text{ swap the left and right side of the equation } \\[1 em]9x &= 293&& \text{ divide both sides by $ 9 $ } \\[1 em]x &= \frac{293}{9}&& \\[1 em] \end{aligned} $$

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