$$ \begin{aligned} \frac{11}{6}x\cdot\frac{26}{12} &= 0&& \text{multiply ALL terms by } \color{blue}{ 12 }. \\[1 em]12 \cdot \frac{11}{6}x\cdot\frac{26}{12} &= 12\cdot0&& \text{cancel out the denominators} \\[1 em]\frac{143}{3}x &= 0&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3 \cdot \frac{143}{3}x &= 3\cdot0&& \text{cancel out the denominators} \\[1 em]143x &= 0&& \text{ divide both sides by $ 143 $ } \\[1 em]x &= \frac{0}{143}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$
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