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Simplifying -2(-1x + 2) + -4x + -4 = 3x + 2 Reorder the terms: -2(2 + -1x) + -4x + -4 = 3x + 2 (2 * -2 + -1x * -2) + -4x + -4 = 3x + 2 (-4 + 2x) + -4x + -4 = 3x + 2 Reorder the terms: -4 + -4 + 2x + -4x = 3x + 2 Combine like terms: -4 + -4 = -8 -8 + 2x + -4x = 3x + 2 Combine like terms: 2x + -4x = -2x -8 + -2x = 3x + 2 Reorder the terms: -8 + -2x = 2 + 3x Solving -8 + -2x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -8 + -2x + -3x = 2 + 3x + -3x Combine like terms: -2x + -3x = -5x -8 + -5x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + -5x = 2 + 0 -8 + -5x = 2 Add '8' to each side of the equation. -8 + 8 + -5x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = 2 + 8 -5x = 2 + 8 Combine like terms: 2 + 8 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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