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Simplifying 0.4x + -0.2(40 + x) = 0.2(40) 0.4x + (40 * -0.2 + x * -0.2) = 0.2(40) 0.4x + (-8 + -0.2x) = 0.2(40) Reorder the terms: -8 + 0.4x + -0.2x = 0.2(40) Combine like terms: 0.4x + -0.2x = 0.2x -8 + 0.2x = 0.2(40) Multiply 0.2 * 40 -8 + 0.2x = 8 Solving -8 + 0.2x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 0.2x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 0.2x = 8 + 8 0.2x = 8 + 8 Combine like terms: 8 + 8 = 16 0.2x = 16 Divide each side by '0.2'. x = 80 Simplifying x = 80
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