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Simplifying 0.40x + -0.20(80 + x) = -0.10(80) 0.40x + (80 * -0.20 + x * -0.20) = -0.10(80) 0.40x + (-16 + -0.20x) = -0.10(80) Reorder the terms: -16 + 0.40x + -0.20x = -0.10(80) Combine like terms: 0.40x + -0.20x = 0.2x -16 + 0.2x = -0.10(80) Multiply -0.10 * 80 -16 + 0.2x = -8 Solving -16 + 0.2x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 0.2x = -8 + 16 Combine like terms: -16 + 16 = 0 0 + 0.2x = -8 + 16 0.2x = -8 + 16 Combine like terms: -8 + 16 = 8 0.2x = 8 Divide each side by '0.2'. x = 40 Simplifying x = 40
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