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Simplifying 120 = x + -1(50 + 0.2x) 120 = x + (50 * -1 + 0.2x * -1) 120 = x + (-50 + -0.2x) Reorder the terms: 120 = -50 + x + -0.2x Combine like terms: x + -0.2x = 0.8x 120 = -50 + 0.8x Solving 120 = -50 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 120 + -0.8x = -50 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 120 + -0.8x = -50 + 0.0 120 + -0.8x = -50 Add '-120' to each side of the equation. 120 + -120 + -0.8x = -50 + -120 Combine like terms: 120 + -120 = 0 0 + -0.8x = -50 + -120 -0.8x = -50 + -120 Combine like terms: -50 + -120 = -170 -0.8x = -170 Divide each side by '-0.8'. x = 212.5 Simplifying x = 212.5
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