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Simplifying 6 + -1[3x + -1(2 + x)] = 4(x + -1) 6 + -1[3x + (2 * -1 + x * -1)] = 4(x + -1) 6 + -1[3x + (-2 + -1x)] = 4(x + -1) Reorder the terms: 6 + -1[-2 + 3x + -1x] = 4(x + -1) Combine like terms: 3x + -1x = 2x 6 + -1[-2 + 2x] = 4(x + -1) 6 + [-2 * -1 + 2x * -1] = 4(x + -1) 6 + [2 + -2x] = 4(x + -1) Combine like terms: 6 + 2 = 8 8 + -2x = 4(x + -1) Reorder the terms: 8 + -2x = 4(-1 + x) 8 + -2x = (-1 * 4 + x * 4) 8 + -2x = (-4 + 4x) Solving 8 + -2x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 8 + -2x + -4x = -4 + 4x + -4x Combine like terms: -2x + -4x = -6x 8 + -6x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -6x = -4 + 0 8 + -6x = -4 Add '-8' to each side of the equation. 8 + -8 + -6x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = -4 + -8 -6x = -4 + -8 Combine like terms: -4 + -8 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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