$$ \begin{aligned} -22-\frac{x}{9} &= 19&& \text{multiply ALL terms by } \color{blue}{ 9 }. \\[1 em]-9\cdot22-9 \cdot \frac{x}{9} &= 9\cdot19&& \text{cancel out the denominators} \\[1 em]-198-x &= 171&& \text{ move -198 to the right } \\[1 em]-x &= 171+198&& \\[1 em]-x &= 369&& \text{switch signs on both sides} \\[1 em]x &= -369&& \\[1 em] \end{aligned} $$
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