$$ \begin{aligned} 18\cdot12 &= 22\cdot1x&& \text{move the $ \color{blue}{ 22x } $ to the left side} \\[1 em]216-22x &= 0&& \text{ move the constants to the right } \\[1 em]-22x &= -216&& \text{ divide both sides by $ -22 $ } \\[1 em]x &= \frac{-216}{-22}&& \\[1 em]x &= \frac{108}{11}&& \\[1 em] \end{aligned} $$
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