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Simplifying 0.45x + 0.10(220 + -1x) = 51.75 0.45x + (220 * 0.10 + -1x * 0.10) = 51.75 0.45x + (22 + -0.1x) = 51.75 Reorder the terms: 22 + 0.45x + -0.1x = 51.75 Combine like terms: 0.45x + -0.1x = 0.35x 22 + 0.35x = 51.75 Solving 22 + 0.35x = 51.75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 0.35x = 51.75 + -22 Combine like terms: 22 + -22 = 0 0 + 0.35x = 51.75 + -22 0.35x = 51.75 + -22 Combine like terms: 51.75 + -22 = 29.75 0.35x = 29.75 Divide each side by '0.35'. x = 85 Simplifying x = 85
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