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Simplifying -2[x + 3] + -1x = -1x + -4[x + 2] Reorder the terms: -2[3 + x] + -1x = -1x + -4[x + 2] [3 * -2 + x * -2] + -1x = -1x + -4[x + 2] [-6 + -2x] + -1x = -1x + -4[x + 2] Combine like terms: -2x + -1x = -3x -6 + -3x = -1x + -4[x + 2] Reorder the terms: -6 + -3x = -1x + -4[2 + x] -6 + -3x = -1x + [2 * -4 + x * -4] -6 + -3x = -1x + [-8 + -4x] Reorder the terms: -6 + -3x = -8 + -1x + -4x Combine like terms: -1x + -4x = -5x -6 + -3x = -8 + -5x Solving -6 + -3x = -8 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -6 + -3x + 5x = -8 + -5x + 5x Combine like terms: -3x + 5x = 2x -6 + 2x = -8 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 2x = -8 + 0 -6 + 2x = -8 Add '6' to each side of the equation. -6 + 6 + 2x = -8 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = -8 + 6 2x = -8 + 6 Combine like terms: -8 + 6 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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