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Simplifying 0.40x + 0.80(100) = 0.60(100 + x) Multiply 0.80 * 100 0.40x + 80 = 0.60(100 + x) Reorder the terms: 80 + 0.40x = 0.60(100 + x) 80 + 0.40x = (100 * 0.60 + x * 0.60) 80 + 0.40x = (60 + 0.60x) Solving 80 + 0.40x = 60 + 0.60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.60x' to each side of the equation. 80 + 0.40x + -0.60x = 60 + 0.60x + -0.60x Combine like terms: 0.40x + -0.60x = -0.2x 80 + -0.2x = 60 + 0.60x + -0.60x Combine like terms: 0.60x + -0.60x = 0.00 80 + -0.2x = 60 + 0.00 80 + -0.2x = 60 Add '-80' to each side of the equation. 80 + -80 + -0.2x = 60 + -80 Combine like terms: 80 + -80 = 0 0 + -0.2x = 60 + -80 -0.2x = 60 + -80 Combine like terms: 60 + -80 = -20 -0.2x = -20 Divide each side by '-0.2'. x = 100 Simplifying x = 100
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