$$ \begin{aligned} x-x\cdot\frac{174}{1000} &= 16&& \text{multiply ALL terms by } \color{blue}{ 1000 }. \\[1 em]1000x-1000x\cdot\frac{174}{1000} &= 1000\cdot16&& \text{cancel out the denominators} \\[1 em]1000x-174x &= 16000&& \text{simplify left side} \\[1 em]826x &= 16000&& \text{ divide both sides by $ 826 $ } \\[1 em]x &= \frac{16000}{826}&& \\[1 em]x &= \frac{8000}{413}&& \\[1 em] \end{aligned} $$

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