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Simplifying 2x + -120 + x + -30 + 0.5x + 15 = 180 Reorder the terms: -120 + -30 + 15 + 2x + x + 0.5x = 180 Combine like terms: -120 + -30 = -150 -150 + 15 + 2x + x + 0.5x = 180 Combine like terms: -150 + 15 = -135 -135 + 2x + x + 0.5x = 180 Combine like terms: 2x + x = 3x -135 + 3x + 0.5x = 180 Combine like terms: 3x + 0.5x = 3.5x -135 + 3.5x = 180 Solving -135 + 3.5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '135' to each side of the equation. -135 + 135 + 3.5x = 180 + 135 Combine like terms: -135 + 135 = 0 0 + 3.5x = 180 + 135 3.5x = 180 + 135 Combine like terms: 180 + 135 = 315 3.5x = 315 Divide each side by '3.5'. x = 90 Simplifying x = 90
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