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Simplifying 0.40x + -0.20(x + 20) = 0.40(20) Reorder the terms: 0.40x + -0.20(20 + x) = 0.40(20) 0.40x + (20 * -0.20 + x * -0.20) = 0.40(20) 0.40x + (-4 + -0.20x) = 0.40(20) Reorder the terms: -4 + 0.40x + -0.20x = 0.40(20) Combine like terms: 0.40x + -0.20x = 0.2x -4 + 0.2x = 0.40(20) Multiply 0.40 * 20 -4 + 0.2x = 8 Solving -4 + 0.2x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 0.2x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 0.2x = 8 + 4 0.2x = 8 + 4 Combine like terms: 8 + 4 = 12 0.2x = 12 Divide each side by '0.2'. x = 60 Simplifying x = 60
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