$$ \begin{aligned} \frac{6}{16} &= \frac{x}{24}&& \text{multiply ALL terms by } \color{blue}{ 48 }. \\[1 em]48\cdot\frac{6}{16} &= 48 \cdot \frac{x}{24}&& \text{cancel out the denominators} \\[1 em]18 &= 2x&& \text{ swap the left and right side of the equation } \\[1 em]2x &= 18&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{18}{2}&& \\[1 em]x &= 9&& \\[1 em] \end{aligned} $$

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