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Simplifying 120 = 1.5(x + -10) + -15 Reorder the terms: 120 = 1.5(-10 + x) + -15 120 = (-10 * 1.5 + x * 1.5) + -15 120 = (-15 + 1.5x) + -15 Reorder the terms: 120 = -15 + -15 + 1.5x Combine like terms: -15 + -15 = -30 120 = -30 + 1.5x Solving 120 = -30 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 120 + -1.5x = -30 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 120 + -1.5x = -30 + 0.0 120 + -1.5x = -30 Add '-120' to each side of the equation. 120 + -120 + -1.5x = -30 + -120 Combine like terms: 120 + -120 = 0 0 + -1.5x = -30 + -120 -1.5x = -30 + -120 Combine like terms: -30 + -120 = -150 -1.5x = -150 Divide each side by '-1.5'. x = 100 Simplifying x = 100
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