$$450 = \frac{1}{2}x+x$$

$$ \begin{aligned} 450 &= \frac{1}{2}x+x&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot450 &= 2 \cdot \frac{1}{2}x+2x&& \text{cancel out the denominators} \\[1 em]900 &= x+2x&& \text{simplify right side} \\[1 em]900 &= 3x&& \text{ swap the left and right side of the equation } \\[1 em]3x &= 900&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{900}{3}&& \\[1 em]x &= 300&& \\[1 em] \end{aligned} $$

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