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Simplifying 0.2x + -0.6 = -0.4(x + -1) + 0.2 Reorder the terms: -0.6 + 0.2x = -0.4(x + -1) + 0.2 Reorder the terms: -0.6 + 0.2x = -0.4(-1 + x) + 0.2 -0.6 + 0.2x = (-1 * -0.4 + x * -0.4) + 0.2 -0.6 + 0.2x = (0.4 + -0.4x) + 0.2 Reorder the terms: -0.6 + 0.2x = 0.4 + 0.2 + -0.4x Combine like terms: 0.4 + 0.2 = 0.6 -0.6 + 0.2x = 0.6 + -0.4x Solving -0.6 + 0.2x = 0.6 + -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. -0.6 + 0.2x + 0.4x = 0.6 + -0.4x + 0.4x Combine like terms: 0.2x + 0.4x = 0.6x -0.6 + 0.6x = 0.6 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -0.6 + 0.6x = 0.6 + 0.0 -0.6 + 0.6x = 0.6 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.6x = 0.6 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.6x = 0.6 + 0.6 0.6x = 0.6 + 0.6 Combine like terms: 0.6 + 0.6 = 1.2 0.6x = 1.2 Divide each side by '0.6'. x = 2 Simplifying x = 2
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