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Simplifying 0.20x + 0.50(120) = 0.40(x + 120) Multiply 0.50 * 120 0.20x + 60 = 0.40(x + 120) Reorder the terms: 60 + 0.20x = 0.40(x + 120) Reorder the terms: 60 + 0.20x = 0.40(120 + x) 60 + 0.20x = (120 * 0.40 + x * 0.40) 60 + 0.20x = (48 + 0.40x) Solving 60 + 0.20x = 48 + 0.40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.40x' to each side of the equation. 60 + 0.20x + -0.40x = 48 + 0.40x + -0.40x Combine like terms: 0.20x + -0.40x = -0.2x 60 + -0.2x = 48 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 60 + -0.2x = 48 + 0.00 60 + -0.2x = 48 Add '-60' to each side of the equation. 60 + -60 + -0.2x = 48 + -60 Combine like terms: 60 + -60 = 0 0 + -0.2x = 48 + -60 -0.2x = 48 + -60 Combine like terms: 48 + -60 = -12 -0.2x = -12 Divide each side by '-0.2'. x = 60 Simplifying x = 60
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