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