$$ \begin{aligned} \frac{10}{13}x &= \frac{30}{39}&& \text{multiply ALL terms by } \color{blue}{ 39 }. \\[1 em]39 \cdot \frac{10}{13}x &= 39\cdot\frac{30}{39}&& \text{cancel out the denominators} \\[1 em]30x &= 30&& \text{ divide both sides by $ 30 $ } \\[1 em]x &= \frac{30}{30}&& \\[1 em]x &= 1&& \\[1 em] \end{aligned} $$
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