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Simplifying 0.60x + -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) Reorder the terms: -32 + 0.60x + -0.40x = -0.30(80) Combine like terms: 0.60x + -0.40x = 0.2x -32 + 0.2x = -0.30(80) Multiply -0.30 * 80 -32 + 0.2x = -24 Solving -32 + 0.2x = -24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 0.2x = -24 + 32 Combine like terms: -32 + 32 = 0 0 + 0.2x = -24 + 32 0.2x = -24 + 32 Combine like terms: -24 + 32 = 8 0.2x = 8 Divide each side by '0.2'. x = 40 Simplifying x = 40
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