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