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Simplifying 4x + 1.5(80 + -1x) = 160 4x + (80 * 1.5 + -1x * 1.5) = 160 4x + (120 + -1.5x) = 160 Reorder the terms: 120 + 4x + -1.5x = 160 Combine like terms: 4x + -1.5x = 2.5x 120 + 2.5x = 160 Solving 120 + 2.5x = 160 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + 2.5x = 160 + -120 Combine like terms: 120 + -120 = 0 0 + 2.5x = 160 + -120 2.5x = 160 + -120 Combine like terms: 160 + -120 = 40 2.5x = 40 Divide each side by '2.5'. x = 16 Simplifying x = 16
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