$$ \begin{aligned} \frac{11}{14}x\cdot\frac{5}{6} &= 0&& \text{multiply ALL terms by } \color{blue}{ 42 }. \\[1 em]42 \cdot \frac{11}{14}x\cdot\frac{5}{6} &= 42\cdot0&& \text{cancel out the denominators} \\[1 em]\frac{55}{2}x &= 0&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{55}{2}x &= 2\cdot0&& \text{cancel out the denominators} \\[1 em]55x &= 0&& \text{ divide both sides by $ 55 $ } \\[1 em]x &= \frac{0}{55}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$

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