$$ \begin{aligned} \frac{\frac{9x\cdot\frac{6}{1}}{1}}{3}+1 &= 0&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3 \cdot \frac{\frac{9x\cdot\frac{6}{1}}{1}}{3}+3\cdot1 &= 3\cdot0&& \text{cancel out the denominators} \\[1 em]54x+3 &= 0&& \text{ move the constants to the right } \\[1 em]54x &= -3&& \text{ divide both sides by $ 54 $ } \\[1 em]x &= -\frac{3}{54}&& \\[1 em]x &= -\frac{1}{18}&& \\[1 em] \end{aligned} $$

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