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Simplifying 0.4x + -0.1(12 + -2x) = 0.2(x + -6) 0.4x + (12 * -0.1 + -2x * -0.1) = 0.2(x + -6) 0.4x + (-1.2 + 0.2x) = 0.2(x + -6) Reorder the terms: -1.2 + 0.4x + 0.2x = 0.2(x + -6) Combine like terms: 0.4x + 0.2x = 0.6x -1.2 + 0.6x = 0.2(x + -6) Reorder the terms: -1.2 + 0.6x = 0.2(-6 + x) -1.2 + 0.6x = (-6 * 0.2 + x * 0.2) -1.2 + 0.6x = (-1.2 + 0.2x) Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.6x = -1.2 + 1.2 + 0.2x Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.6x = -1.2 + 1.2 + 0.2x 0.6x = -1.2 + 1.2 + 0.2x Combine like terms: -1.2 + 1.2 = 0.0 0.6x = 0.0 + 0.2x 0.6x = 0.2x Solving 0.6x = 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 0.6x + -0.2x = 0.2x + -0.2x Combine like terms: 0.6x + -0.2x = 0.4x 0.4x = 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 0.4x = 0.0 Divide each side by '0.4'. x = 0 Simplifying x = 0
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