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Simplifying 0.30(80 + 0.60x) = 0.40(80 + x) (80 * 0.30 + 0.60x * 0.30) = 0.40(80 + x) (24 + 0.18x) = 0.40(80 + x) 24 + 0.18x = (80 * 0.40 + x * 0.40) 24 + 0.18x = (32 + 0.40x) Solving 24 + 0.18x = 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 + 0.18x + -0.40x = 32 + 0.40x + -0.40x Combine like terms: 0.18x + -0.40x = -0.22x 24 + -0.22x = 32 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 24 + -0.22x = 32 + 0.00 24 + -0.22x = 32 Add '-24' to each side of the equation. 24 + -24 + -0.22x = 32 + -24 Combine like terms: 24 + -24 = 0 0 + -0.22x = 32 + -24 -0.22x = 32 + -24 Combine like terms: 32 + -24 = 8 -0.22x = 8 Divide each side by '-0.22'. x = -36.36363636 Simplifying x = -36.36363636
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