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Simplifying 2(180 + -1x) = 0.5(90 + -1x) + 10 (180 * 2 + -1x * 2) = 0.5(90 + -1x) + 10 (360 + -2x) = 0.5(90 + -1x) + 10 360 + -2x = (90 * 0.5 + -1x * 0.5) + 10 360 + -2x = (45 + -0.5x) + 10 Reorder the terms: 360 + -2x = 45 + 10 + -0.5x Combine like terms: 45 + 10 = 55 360 + -2x = 55 + -0.5x Solving 360 + -2x = 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. 360 + -2x + 0.5x = 55 + -0.5x + 0.5x Combine like terms: -2x + 0.5x = -1.5x 360 + -1.5x = 55 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 360 + -1.5x = 55 + 0.0 360 + -1.5x = 55 Add '-360' to each side of the equation. 360 + -360 + -1.5x = 55 + -360 Combine like terms: 360 + -360 = 0 0 + -1.5x = 55 + -360 -1.5x = 55 + -360 Combine like terms: 55 + -360 = -305 -1.5x = -305 Divide each side by '-1.5'. x = 203.3333333 Simplifying x = 203.3333333
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