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Simplifying 0.80x + -0.40(60 + x) = -0.20(60) 0.80x + (60 * -0.40 + x * -0.40) = -0.20(60) 0.80x + (-24 + -0.40x) = -0.20(60) Reorder the terms: -24 + 0.80x + -0.40x = -0.20(60) Combine like terms: 0.80x + -0.40x = 0.4x -24 + 0.4x = -0.20(60) Multiply -0.20 * 60 -24 + 0.4x = -12 Solving -24 + 0.4x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 0.4x = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 0.4x = -12 + 24 0.4x = -12 + 24 Combine like terms: -12 + 24 = 12 0.4x = 12 Divide each side by '0.4'. x = 30 Simplifying x = 30
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