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Simplifying (x + 2)(2 + -1x) + -2(2x + -1) + -1(3 + -1x)(x + 3) = x(x + -4) + -1x2 + x Reorder the terms: (2 + x)(2 + -1x) + -2(2x + -1) + -1(3 + -1x)(x + 3) = x(x + -4) + -1x2 + x Multiply (2 + x) * (2 + -1x) (2(2 + -1x) + x(2 + -1x)) + -2(2x + -1) + -1(3 + -1x)(x + 3) = x(x + -4) + -1x2 + x ((2 * 2 + -1x * 2) + x(2 + -1x)) + -2(2x + -1) + -1(3 + -1x)(x + 3) = x(x + -4) + -1x2 + x ((4 + -2x) + x(2 + -1x)) + -2(2x + -1) + -1(3 + -1x)(x + 3) = x(x + -4) + -1x2 + x (4 + -2x + (2 * x + -1x * x)) + -2(2x + -1) + -1(3 + -1x)(x + 3) = x(x + -4) + -1x2 + x (4 + -2x + (2x + -1x2)) + -2(2x + -1) + -1(3 + -1x)(x + 3) = x(x + -4) + -1x2 + x Combine like terms: -2x + 2x = 0 (4 + 0 + -1x2) + -2(2x + -1) + -1(3 + -1x)(x + 3) = x(x + -4) + -1x2 + x (4 + -1x2) + -2(2x + -1) + -1(3 + -1x)(x + 3) = x(x + -4) + -1x2 + x Reorder the terms: 4 + -1x2 + -2(-1 + 2x) + -1(3 + -1x)(x + 3) = x(x + -4) + -1x2 + x 4 + -1x2 + (-1 * -2 + 2x * -2) + -1(3 + -1x)(x + 3) = x(x + -4) + -1x2 + x 4 + -1x2 + (2 + -4x) + -1(3 + -1x)(x + 3) = x(x + -4) + -1x2 + x Reorder the terms: 4 + -1x2 + 2 + -4x + -1(3 + -1x)(3 + x) = x(x + -4) + -1x2 + x Multiply (3 + -1x) * (3 + x) 4 + -1x2 + 2 + -4x + -1(3(3 + x) + -1x * (3 + x)) = x(x + -4) + -1x2 + x 4 + -1x2 + 2 + -4x + -1((3 * 3 + x * 3) + -1x * (3 + x)) = x(x + -4) + -1x2 + x 4 + -1x2 + 2 + -4x + -1((9 + 3x) + -1x * (3 + x)) = x(x + -4) + -1x2 + x 4 + -1x2 + 2 + -4x + -1(9 + 3x + (3 * -1x + x * -1x)) = x(x + -4) + -1x2 + x 4 + -1x2 + 2 + -4x + -1(9 + 3x + (-3x + -1x2)) = x(x + -4) + -1x2 + x Combine like terms: 3x + -3x = 0 4 + -1x2 + 2 + -4x + -1(9 + 0 + -1x2) = x(x + -4) + -1x2 + x 4 + -1x2 + 2 + -4x + -1(9 + -1x2) = x(x + -4) + -1x2 + x 4 + -1x2 + 2 + -4x + (9 * -1 + -1x2 * -1) = x(x + -4) + -1x2 + x 4 + -1x2 + 2 + -4x + (-9 + 1x2) = x(x + -4) + -1x2 + x Reorder the terms: 4 + 2 + -9 + -4x + -1x2 + 1x2 = x(x + -4) + -1x2 + x Combine like terms: 4 + 2 = 6 6 + -9 + -4x + -1x2 + 1x2 = x(x + -4) + -1x2 + x Combine like terms: 6 + -9 = -3 -3 + -4x + -1x2 + 1x2 = x(x + -4) + -1x2 + x Combine like terms: -1x2 + 1x2 = 0 -3 + -4x + 0 = x(x + -4) + -1x2 + x -3 + -4x = x(x + -4) + -1x2 + x Reorder the terms: -3 + -4x = x(-4 + x) + -1x2 + x -3 + -4x = (-4 * x + x * x) + -1x2 + x -3 + -4x = (-4x + x2) + -1x2 + x Reorder the terms: -3 + -4x = -4x + x + x2 + -1x2 Combine like terms: -4x + x = -3x -3 + -4x = -3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3 + -4x = -3x + 0 -3 + -4x = -3x Solving -3 + -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. -3 + -4x + 3x = -3x + 3x Combine like terms: -4x + 3x = -1x -3 + -1x = -3x + 3x Combine like terms: -3x + 3x = 0 -3 + -1x = 0 Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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