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Simplifying 0.2x + -0.4 + -1(0.4x + 1.2) = -0.6x Reorder the terms: 0.2x + -0.4 + -1(1.2 + 0.4x) = -0.6x 0.2x + -0.4 + (1.2 * -1 + 0.4x * -1) = -0.6x 0.2x + -0.4 + (-1.2 + -0.4x) = -0.6x Reorder the terms: -0.4 + -1.2 + 0.2x + -0.4x = -0.6x Combine like terms: -0.4 + -1.2 = -1.6 -1.6 + 0.2x + -0.4x = -0.6x Combine like terms: 0.2x + -0.4x = -0.2x -1.6 + -0.2x = -0.6x Solving -1.6 + -0.2x = -0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6x' to each side of the equation. -1.6 + -0.2x + 0.6x = -0.6x + 0.6x Combine like terms: -0.2x + 0.6x = 0.4x -1.6 + 0.4x = -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 -1.6 + 0.4x = 0.0 Add '1.6' to each side of the equation. -1.6 + 1.6 + 0.4x = 0.0 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 0.4x = 0.0 + 1.6 0.4x = 0.0 + 1.6 Combine like terms: 0.0 + 1.6 = 1.6 0.4x = 1.6 Divide each side by '0.4'. x = 4 Simplifying x = 4
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