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Simplifying x2 + x(6 + -2x) = (x + -1)(2 + -1x) + -2 x2 + (6 * x + -2x * x) = (x + -1)(2 + -1x) + -2 x2 + (6x + -2x2) = (x + -1)(2 + -1x) + -2 Reorder the terms: 6x + x2 + -2x2 = (x + -1)(2 + -1x) + -2 Combine like terms: x2 + -2x2 = -1x2 6x + -1x2 = (x + -1)(2 + -1x) + -2 Reorder the terms: 6x + -1x2 = (-1 + x)(2 + -1x) + -2 Multiply (-1 + x) * (2 + -1x) 6x + -1x2 = (-1(2 + -1x) + x(2 + -1x)) + -2 6x + -1x2 = ((2 * -1 + -1x * -1) + x(2 + -1x)) + -2 6x + -1x2 = ((-2 + 1x) + x(2 + -1x)) + -2 6x + -1x2 = (-2 + 1x + (2 * x + -1x * x)) + -2 6x + -1x2 = (-2 + 1x + (2x + -1x2)) + -2 Combine like terms: 1x + 2x = 3x 6x + -1x2 = (-2 + 3x + -1x2) + -2 Reorder the terms: 6x + -1x2 = -2 + -2 + 3x + -1x2 Combine like terms: -2 + -2 = -4 6x + -1x2 = -4 + 3x + -1x2 Add 'x2' to each side of the equation. 6x + -1x2 + x2 = -4 + 3x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 6x + 0 = -4 + 3x + -1x2 + x2 6x = -4 + 3x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 6x = -4 + 3x + 0 6x = -4 + 3x Solving 6x = -4 + 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. 6x + -3x = -4 + 3x + -3x Combine like terms: 6x + -3x = 3x 3x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 3x = -4 + 0 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333
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