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Simplifying 0.4x + -0.2(20 + x) = 12 0.4x + (20 * -0.2 + x * -0.2) = 12 0.4x + (-4 + -0.2x) = 12 Reorder the terms: -4 + 0.4x + -0.2x = 12 Combine like terms: 0.4x + -0.2x = 0.2x -4 + 0.2x = 12 Solving -4 + 0.2x = 12 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 = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 0.2x = 12 + 4 0.2x = 12 + 4 Combine like terms: 12 + 4 = 16 0.2x = 16 Divide each side by '0.2'. x = 80 Simplifying x = 80
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