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Simplifying 0.30(80) + 0.60 = 0.40(80 + x) Multiply 0.30 * 80 24 + 0.60 = 0.40(80 + x) Combine like terms: 24 + 0.60 = 24.6 24.6 = 0.40(80 + x) 24.6 = (80 * 0.40 + x * 0.40) 24.6 = (32 + 0.40x) Solving 24.6 = 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. 24.6 + -0.40x = 32 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 24.6 + -0.40x = 32 + 0.00 24.6 + -0.40x = 32 Add '-24.6' to each side of the equation. 24.6 + -24.6 + -0.40x = 32 + -24.6 Combine like terms: 24.6 + -24.6 = 0.0 0.0 + -0.40x = 32 + -24.6 -0.40x = 32 + -24.6 Combine like terms: 32 + -24.6 = 7.4 -0.40x = 7.4 Divide each side by '-0.40'. x = -18.5 Simplifying x = -18.5
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