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Simplifying 0.40x + -0.20(50 + x) = 0 0.40x + (50 * -0.20 + x * -0.20) = 0 0.40x + (-10 + -0.20x) = 0 Reorder the terms: -10 + 0.40x + -0.20x = 0 Combine like terms: 0.40x + -0.20x = 0.2x -10 + 0.2x = 0 Solving -10 + 0.2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 0.2x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 0.2x = 0 + 10 0.2x = 0 + 10 Combine like terms: 0 + 10 = 10 0.2x = 10 Divide each side by '0.2'. x = 50 Simplifying x = 50
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