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