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Simplifying 22.5x + 27.5(10 + -1x) = 250 22.5x + (10 * 27.5 + -1x * 27.5) = 250 22.5x + (275 + -27.5x) = 250 Reorder the terms: 275 + 22.5x + -27.5x = 250 Combine like terms: 22.5x + -27.5x = -5x 275 + -5x = 250 Solving 275 + -5x = 250 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-275' to each side of the equation. 275 + -275 + -5x = 250 + -275 Combine like terms: 275 + -275 = 0 0 + -5x = 250 + -275 -5x = 250 + -275 Combine like terms: 250 + -275 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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