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Simplifying 0.4x + -0.2(x + -1) = 2 Reorder the terms: 0.4x + -0.2(-1 + x) = 2 0.4x + (-1 * -0.2 + x * -0.2) = 2 0.4x + (0.2 + -0.2x) = 2 Reorder the terms: 0.2 + 0.4x + -0.2x = 2 Combine like terms: 0.4x + -0.2x = 0.2x 0.2 + 0.2x = 2 Solving 0.2 + 0.2x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.2x = 2 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.2x = 2 + -0.2 0.2x = 2 + -0.2 Combine like terms: 2 + -0.2 = 1.8 0.2x = 1.8 Divide each side by '0.2'. x = 9 Simplifying x = 9
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