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Simplifying -1(2x + 2) + -4x + -2 = 3x + 2 Reorder the terms: -1(2 + 2x) + -4x + -2 = 3x + 2 (2 * -1 + 2x * -1) + -4x + -2 = 3x + 2 (-2 + -2x) + -4x + -2 = 3x + 2 Reorder the terms: -2 + -2 + -2x + -4x = 3x + 2 Combine like terms: -2 + -2 = -4 -4 + -2x + -4x = 3x + 2 Combine like terms: -2x + -4x = -6x -4 + -6x = 3x + 2 Reorder the terms: -4 + -6x = 2 + 3x Solving -4 + -6x = 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. -4 + -6x + -3x = 2 + 3x + -3x Combine like terms: -6x + -3x = -9x -4 + -9x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -9x = 2 + 0 -4 + -9x = 2 Add '4' to each side of the equation. -4 + 4 + -9x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -9x = 2 + 4 -9x = 2 + 4 Combine like terms: 2 + 4 = 6 -9x = 6 Divide each side by '-9'. x = -0.6666666667 Simplifying x = -0.6666666667
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