$$ \begin{aligned} \frac{1}{4}x+x+x-55 &= 1133&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4 \cdot \frac{1}{4}x+4x+4x-4\cdot55 &= 4\cdot1133&& \text{cancel out the denominators} \\[1 em]x+4x+4x-220 &= 4532&& \text{simplify left side} \\[1 em]9x-220 &= 4532&& \text{ move -220 to the right } \\[1 em]9x &= 4532+220&& \\[1 em]9x &= 4752&& \text{ divide both sides by $ 9 $ } \\[1 em]x &= \frac{4752}{9}&& \\[1 em]x &= 528&& \\[1 em] \end{aligned} $$

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