$$ \begin{aligned} 40x\cdot11^2 &= 40x \cdot \frac{11^2}{60}&& \text{multiply ALL terms by } \color{blue}{ 60 }. \\[1 em]6040x\cdot11^2 &= 6040x \cdot \frac{11^2}{60}&& \text{cancel out the denominators} \\[1 em]290400x &= 4840x&& \text{move the $ \color{blue}{ 4840x } $ to the left side} \\[1 em]290400x-4840x &= 0&& \text{simplify left side} \\[1 em]285560x &= 0&& \text{ divide both sides by $ 285560 $ } \\[1 em]x &= \frac{0}{285560}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$
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