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Simplifying (2 + -1x)(x + -2) + -1(2 + -1x)(x + 2) = (x + -6)(x + 1) + -5x + -1x2 + 10 Reorder the terms: (2 + -1x)(-2 + x) + -1(2 + -1x)(x + 2) = (x + -6)(x + 1) + -5x + -1x2 + 10 Multiply (2 + -1x) * (-2 + x) (2(-2 + x) + -1x * (-2 + x)) + -1(2 + -1x)(x + 2) = (x + -6)(x + 1) + -5x + -1x2 + 10 ((-2 * 2 + x * 2) + -1x * (-2 + x)) + -1(2 + -1x)(x + 2) = (x + -6)(x + 1) + -5x + -1x2 + 10 ((-4 + 2x) + -1x * (-2 + x)) + -1(2 + -1x)(x + 2) = (x + -6)(x + 1) + -5x + -1x2 + 10 (-4 + 2x + (-2 * -1x + x * -1x)) + -1(2 + -1x)(x + 2) = (x + -6)(x + 1) + -5x + -1x2 + 10 (-4 + 2x + (2x + -1x2)) + -1(2 + -1x)(x + 2) = (x + -6)(x + 1) + -5x + -1x2 + 10 Combine like terms: 2x + 2x = 4x (-4 + 4x + -1x2) + -1(2 + -1x)(x + 2) = (x + -6)(x + 1) + -5x + -1x2 + 10 Reorder the terms: -4 + 4x + -1x2 + -1(2 + -1x)(2 + x) = (x + -6)(x + 1) + -5x + -1x2 + 10 Multiply (2 + -1x) * (2 + x) -4 + 4x + -1x2 + -1(2(2 + x) + -1x * (2 + x)) = (x + -6)(x + 1) + -5x + -1x2 + 10 -4 + 4x + -1x2 + -1((2 * 2 + x * 2) + -1x * (2 + x)) = (x + -6)(x + 1) + -5x + -1x2 + 10 -4 + 4x + -1x2 + -1((4 + 2x) + -1x * (2 + x)) = (x + -6)(x + 1) + -5x + -1x2 + 10 -4 + 4x + -1x2 + -1(4 + 2x + (2 * -1x + x * -1x)) = (x + -6)(x + 1) + -5x + -1x2 + 10 -4 + 4x + -1x2 + -1(4 + 2x + (-2x + -1x2)) = (x + -6)(x + 1) + -5x + -1x2 + 10 Combine like terms: 2x + -2x = 0 -4 + 4x + -1x2 + -1(4 + 0 + -1x2) = (x + -6)(x + 1) + -5x + -1x2 + 10 -4 + 4x + -1x2 + -1(4 + -1x2) = (x + -6)(x + 1) + -5x + -1x2 + 10 -4 + 4x + -1x2 + (4 * -1 + -1x2 * -1) = (x + -6)(x + 1) + -5x + -1x2 + 10 -4 + 4x + -1x2 + (-4 + 1x2) = (x + -6)(x + 1) + -5x + -1x2 + 10 Reorder the terms: -4 + -4 + 4x + -1x2 + 1x2 = (x + -6)(x + 1) + -5x + -1x2 + 10 Combine like terms: -4 + -4 = -8 -8 + 4x + -1x2 + 1x2 = (x + -6)(x + 1) + -5x + -1x2 + 10 Combine like terms: -1x2 + 1x2 = 0 -8 + 4x + 0 = (x + -6)(x + 1) + -5x + -1x2 + 10 -8 + 4x = (x + -6)(x + 1) + -5x + -1x2 + 10 Reorder the terms: -8 + 4x = (-6 + x)(x + 1) + -5x + -1x2 + 10 Reorder the terms: -8 + 4x = (-6 + x)(1 + x) + -5x + -1x2 + 10 Multiply (-6 + x) * (1 + x) -8 + 4x = (-6(1 + x) + x(1 + x)) + -5x + -1x2 + 10 -8 + 4x = ((1 * -6 + x * -6) + x(1 + x)) + -5x + -1x2 + 10 -8 + 4x = ((-6 + -6x) + x(1 + x)) + -5x + -1x2 + 10 -8 + 4x = (-6 + -6x + (1 * x + x * x)) + -5x + -1x2 + 10 -8 + 4x = (-6 + -6x + (1x + x2)) + -5x + -1x2 + 10 Combine like terms: -6x + 1x = -5x -8 + 4x = (-6 + -5x + x2) + -5x + -1x2 + 10 Reorder the terms: -8 + 4x = -6 + 10 + -5x + -5x + x2 + -1x2 Combine like terms: -6 + 10 = 4 -8 + 4x = 4 + -5x + -5x + x2 + -1x2 Combine like terms: -5x + -5x = -10x -8 + 4x = 4 + -10x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -8 + 4x = 4 + -10x + 0 -8 + 4x = 4 + -10x Solving -8 + 4x = 4 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -8 + 4x + 10x = 4 + -10x + 10x Combine like terms: 4x + 10x = 14x -8 + 14x = 4 + -10x + 10x Combine like terms: -10x + 10x = 0 -8 + 14x = 4 + 0 -8 + 14x = 4 Add '8' to each side of the equation. -8 + 8 + 14x = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 14x = 4 + 8 14x = 4 + 8 Combine like terms: 4 + 8 = 12 14x = 12 Divide each side by '14'. x = 0.8571428571 Simplifying x = 0.8571428571
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