$$ \begin{aligned} 2 \cdot \frac{x}{36}+8x &= 0&& \text{multiply ALL terms by } \color{blue}{ 36 }. \\[1 em]36\cdot2 \cdot \frac{x}{36}+36\cdot8x &= 36\cdot0&& \text{cancel out the denominators} \\[1 em]2x+288x &= 0&& \text{simplify left side} \\[1 em]290x &= 0&& \text{ divide both sides by $ 290 $ } \\[1 em]x &= \frac{0}{290}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$

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