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Simplifying 0.45x + 0.10(250 + -1x) = 49.5 0.45x + (250 * 0.10 + -1x * 0.10) = 49.5 0.45x + (25 + -0.1x) = 49.5 Reorder the terms: 25 + 0.45x + -0.1x = 49.5 Combine like terms: 0.45x + -0.1x = 0.35x 25 + 0.35x = 49.5 Solving 25 + 0.35x = 49.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 0.35x = 49.5 + -25 Combine like terms: 25 + -25 = 0 0 + 0.35x = 49.5 + -25 0.35x = 49.5 + -25 Combine like terms: 49.5 + -25 = 24.5 0.35x = 24.5 Divide each side by '0.35'. x = 70 Simplifying x = 70
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