$$ \begin{aligned} \frac{66}{11}+9x\cdot5 &= 0&& \text{multiply ALL terms by } \color{blue}{ 11 }. \\[1 em]11\cdot\frac{66}{11}+119x\cdot5 &= 11\cdot0&& \text{cancel out the denominators} \\[1 em]66+495x &= 0&& \text{ move the constants to the right } \\[1 em]495x &= -66&& \text{ divide both sides by $ 495 $ } \\[1 em]x &= -\frac{66}{495}&& \\[1 em]x &= -\frac{2}{15}&& \\[1 em] \end{aligned} $$

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