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Simplifying 0.25(80) + 0.60x = 0.40(80 + x) Multiply 0.25 * 80 20 + 0.60x = 0.40(80 + x) 20 + 0.60x = (80 * 0.40 + x * 0.40) 20 + 0.60x = (32 + 0.40x) Solving 20 + 0.60x = 32 + 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. 20 + 0.60x + -0.40x = 32 + 0.40x + -0.40x Combine like terms: 0.60x + -0.40x = 0.2x 20 + 0.2x = 32 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 20 + 0.2x = 32 + 0.00 20 + 0.2x = 32 Add '-20' to each side of the equation. 20 + -20 + 0.2x = 32 + -20 Combine like terms: 20 + -20 = 0 0 + 0.2x = 32 + -20 0.2x = 32 + -20 Combine like terms: 32 + -20 = 12 0.2x = 12 Divide each side by '0.2'. x = 60 Simplifying x = 60
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