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Simplifying -2[x + -3(2 + -1x)] + -4 = 3(x + 1) + -6 -2[x + (2 * -3 + -1x * -3)] + -4 = 3(x + 1) + -6 -2[x + (-6 + 3x)] + -4 = 3(x + 1) + -6 Reorder the terms: -2[-6 + x + 3x] + -4 = 3(x + 1) + -6 Combine like terms: x + 3x = 4x -2[-6 + 4x] + -4 = 3(x + 1) + -6 [-6 * -2 + 4x * -2] + -4 = 3(x + 1) + -6 [12 + -8x] + -4 = 3(x + 1) + -6 Reorder the terms: 12 + -4 + -8x = 3(x + 1) + -6 Combine like terms: 12 + -4 = 8 8 + -8x = 3(x + 1) + -6 Reorder the terms: 8 + -8x = 3(1 + x) + -6 8 + -8x = (1 * 3 + x * 3) + -6 8 + -8x = (3 + 3x) + -6 Reorder the terms: 8 + -8x = 3 + -6 + 3x Combine like terms: 3 + -6 = -3 8 + -8x = -3 + 3x Solving 8 + -8x = -3 + 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 + -8x + -3x = -3 + 3x + -3x Combine like terms: -8x + -3x = -11x 8 + -11x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -11x = -3 + 0 8 + -11x = -3 Add '-8' to each side of the equation. 8 + -8 + -11x = -3 + -8 Combine like terms: 8 + -8 = 0 0 + -11x = -3 + -8 -11x = -3 + -8 Combine like terms: -3 + -8 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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