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Simplifying 0.30(80) + 0.60x = 0.40(80 + x) Multiply 0.30 * 80 24 + 0.60x = 0.40(80 + x) 24 + 0.60x = (80 * 0.40 + x * 0.40) 24 + 0.60x = (32 + 0.40x) Solving 24 + 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. 24 + 0.60x + -0.40x = 32 + 0.40x + -0.40x Combine like terms: 0.60x + -0.40x = 0.2x 24 + 0.2x = 32 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 24 + 0.2x = 32 + 0.00 24 + 0.2x = 32 Add '-24' to each side of the equation. 24 + -24 + 0.2x = 32 + -24 Combine like terms: 24 + -24 = 0 0 + 0.2x = 32 + -24 0.2x = 32 + -24 Combine like terms: 32 + -24 = 8 0.2x = 8 Divide each side by '0.2'. x = 40 Simplifying x = 40
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