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Simplifying 180 + -1x = 0.5(90 + -1x) + 10 180 + -1x = (90 * 0.5 + -1x * 0.5) + 10 180 + -1x = (45 + -0.5x) + 10 Reorder the terms: 180 + -1x = 45 + 10 + -0.5x Combine like terms: 45 + 10 = 55 180 + -1x = 55 + -0.5x Solving 180 + -1x = 55 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. 180 + -1x + 0.5x = 55 + -0.5x + 0.5x Combine like terms: -1x + 0.5x = -0.5x 180 + -0.5x = 55 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 180 + -0.5x = 55 + 0.0 180 + -0.5x = 55 Add '-180' to each side of the equation. 180 + -180 + -0.5x = 55 + -180 Combine like terms: 180 + -180 = 0 0 + -0.5x = 55 + -180 -0.5x = 55 + -180 Combine like terms: 55 + -180 = -125 -0.5x = -125 Divide each side by '-0.5'. x = 250 Simplifying x = 250
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