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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 Multiply 0.40 * 80 24 + 0.60x = 32 + x Solving 24 + 0.60x = 32 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 24 + 0.60x + -1x = 32 + x + -1x Combine like terms: 0.60x + -1x = -0.4x 24 + -0.4x = 32 + x + -1x Combine like terms: x + -1x = 0 24 + -0.4x = 32 + 0 24 + -0.4x = 32 Add '-24' to each side of the equation. 24 + -24 + -0.4x = 32 + -24 Combine like terms: 24 + -24 = 0 0 + -0.4x = 32 + -24 -0.4x = 32 + -24 Combine like terms: 32 + -24 = 8 -0.4x = 8 Divide each side by '-0.4'. x = -20 Simplifying x = -20
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