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Simplifying 0.30(80 + 0.60x) = 0.40(80) (80 * 0.30 + 0.60x * 0.30) = 0.40(80) (24 + 0.18x) = 0.40(80) Multiply 0.40 * 80 24 + 0.18x = 32 Solving 24 + 0.18x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 0.18x = 32 + -24 Combine like terms: 24 + -24 = 0 0 + 0.18x = 32 + -24 0.18x = 32 + -24 Combine like terms: 32 + -24 = 8 0.18x = 8 Divide each side by '0.18'. x = 44.44444444 Simplifying x = 44.44444444
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