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Simplifying 0.2x + -0.6(2 + -2x) = -0.4(x + -6) 0.2x + (2 * -0.6 + -2x * -0.6) = -0.4(x + -6) 0.2x + (-1.2 + 1.2x) = -0.4(x + -6) Reorder the terms: -1.2 + 0.2x + 1.2x = -0.4(x + -6) Combine like terms: 0.2x + 1.2x = 1.4x -1.2 + 1.4x = -0.4(x + -6) Reorder the terms: -1.2 + 1.4x = -0.4(-6 + x) -1.2 + 1.4x = (-6 * -0.4 + x * -0.4) -1.2 + 1.4x = (2.4 + -0.4x) Solving -1.2 + 1.4x = 2.4 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. -1.2 + 1.4x + 0.4x = 2.4 + -0.4x + 0.4x Combine like terms: 1.4x + 0.4x = 1.8x -1.2 + 1.8x = 2.4 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -1.2 + 1.8x = 2.4 + 0.0 -1.2 + 1.8x = 2.4 Add '1.2' to each side of the equation. -1.2 + 1.2 + 1.8x = 2.4 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 1.8x = 2.4 + 1.2 1.8x = 2.4 + 1.2 Combine like terms: 2.4 + 1.2 = 3.6 1.8x = 3.6 Divide each side by '1.8'. x = 2 Simplifying x = 2
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