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Simplifying 0.20x + 0.80(600) = 0.40(600 + x) Multiply 0.80 * 600 0.20x + 480 = 0.40(600 + x) Reorder the terms: 480 + 0.20x = 0.40(600 + x) 480 + 0.20x = (600 * 0.40 + x * 0.40) 480 + 0.20x = (240 + 0.40x) Solving 480 + 0.20x = 240 + 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. 480 + 0.20x + -0.40x = 240 + 0.40x + -0.40x Combine like terms: 0.20x + -0.40x = -0.2x 480 + -0.2x = 240 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 480 + -0.2x = 240 + 0.00 480 + -0.2x = 240 Add '-480' to each side of the equation. 480 + -480 + -0.2x = 240 + -480 Combine like terms: 480 + -480 = 0 0 + -0.2x = 240 + -480 -0.2x = 240 + -480 Combine like terms: 240 + -480 = -240 -0.2x = -240 Divide each side by '-0.2'. x = 1200 Simplifying x = 1200
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