$$ \begin{aligned} \frac{x-4}{27} &= 22&& \text{multiply ALL terms by } \color{blue}{ 27 }. \\[1 em]27 \cdot \frac{x-4}{27} &= 27\cdot22&& \text{cancel out the denominators} \\[1 em]x-4 &= 594&& \text{ move -4 to the right } \\[1 em]x &= 594+4&& \\[1 em]x &= 598&& \\[1 em]x &= 598&& \\[1 em] \end{aligned} $$
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