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Simplifying 120 = 0.5(200 + -1x) 120 = (200 * 0.5 + -1x * 0.5) 120 = (100 + -0.5x) Solving 120 = 100 + -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. 120 + 0.5x = 100 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 120 + 0.5x = 100 + 0.0 120 + 0.5x = 100 Add '-120' to each side of the equation. 120 + -120 + 0.5x = 100 + -120 Combine like terms: 120 + -120 = 0 0 + 0.5x = 100 + -120 0.5x = 100 + -120 Combine like terms: 100 + -120 = -20 0.5x = -20 Divide each side by '0.5'. x = -40 Simplifying x = -40
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