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Simplifying (x + -1)(3x + -6) + -1(x + 1)(8 + -4x) = (X + -2)(49x + 1) Reorder the terms: (-1 + x)(3x + -6) + -1(x + 1)(8 + -4x) = (X + -2)(49x + 1) Reorder the terms: (-1 + x)(-6 + 3x) + -1(x + 1)(8 + -4x) = (X + -2)(49x + 1) Multiply (-1 + x) * (-6 + 3x) (-1(-6 + 3x) + x(-6 + 3x)) + -1(x + 1)(8 + -4x) = (X + -2)(49x + 1) ((-6 * -1 + 3x * -1) + x(-6 + 3x)) + -1(x + 1)(8 + -4x) = (X + -2)(49x + 1) ((6 + -3x) + x(-6 + 3x)) + -1(x + 1)(8 + -4x) = (X + -2)(49x + 1) (6 + -3x + (-6 * x + 3x * x)) + -1(x + 1)(8 + -4x) = (X + -2)(49x + 1) (6 + -3x + (-6x + 3x2)) + -1(x + 1)(8 + -4x) = (X + -2)(49x + 1) Combine like terms: -3x + -6x = -9x (6 + -9x + 3x2) + -1(x + 1)(8 + -4x) = (X + -2)(49x + 1) Reorder the terms: 6 + -9x + 3x2 + -1(1 + x)(8 + -4x) = (X + -2)(49x + 1) Multiply (1 + x) * (8 + -4x) 6 + -9x + 3x2 + -1(1(8 + -4x) + x(8 + -4x)) = (X + -2)(49x + 1) 6 + -9x + 3x2 + -1((8 * 1 + -4x * 1) + x(8 + -4x)) = (X + -2)(49x + 1) 6 + -9x + 3x2 + -1((8 + -4x) + x(8 + -4x)) = (X + -2)(49x + 1) 6 + -9x + 3x2 + -1(8 + -4x + (8 * x + -4x * x)) = (X + -2)(49x + 1) 6 + -9x + 3x2 + -1(8 + -4x + (8x + -4x2)) = (X + -2)(49x + 1) Combine like terms: -4x + 8x = 4x 6 + -9x + 3x2 + -1(8 + 4x + -4x2) = (X + -2)(49x + 1) 6 + -9x + 3x2 + (8 * -1 + 4x * -1 + -4x2 * -1) = (X + -2)(49x + 1) 6 + -9x + 3x2 + (-8 + -4x + 4x2) = (X + -2)(49x + 1) Reorder the terms: 6 + -8 + -9x + -4x + 3x2 + 4x2 = (X + -2)(49x + 1) Combine like terms: 6 + -8 = -2 -2 + -9x + -4x + 3x2 + 4x2 = (X + -2)(49x + 1) Combine like terms: -9x + -4x = -13x -2 + -13x + 3x2 + 4x2 = (X + -2)(49x + 1) Combine like terms: 3x2 + 4x2 = 7x2 -2 + -13x + 7x2 = (X + -2)(49x + 1) Reorder the terms: -2 + -13x + 7x2 = (-2 + X)(49x + 1) Reorder the terms: -2 + -13x + 7x2 = (-2 + X)(1 + 49x) Multiply (-2 + X) * (1 + 49x) -2 + -13x + 7x2 = (-2(1 + 49x) + X(1 + 49x)) -2 + -13x + 7x2 = ((1 * -2 + 49x * -2) + X(1 + 49x)) -2 + -13x + 7x2 = ((-2 + -98x) + X(1 + 49x)) -2 + -13x + 7x2 = (-2 + -98x + (1 * X + 49x * X)) -2 + -13x + 7x2 = (-2 + -98x + (1X + 49xX)) Reorder the terms: -2 + -13x + 7x2 = (-2 + 1X + -98x + 49xX) -2 + -13x + 7x2 = (-2 + 1X + -98x + 49xX) Add '2' to each side of the equation. -2 + -13x + 2 + 7x2 = -2 + 1X + -98x + 2 + 49xX Reorder the terms: -2 + 2 + -13x + 7x2 = -2 + 1X + -98x + 2 + 49xX Combine like terms: -2 + 2 = 0 0 + -13x + 7x2 = -2 + 1X + -98x + 2 + 49xX -13x + 7x2 = -2 + 1X + -98x + 2 + 49xX Reorder the terms: -13x + 7x2 = -2 + 2 + 1X + -98x + 49xX Combine like terms: -2 + 2 = 0 -13x + 7x2 = 0 + 1X + -98x + 49xX -13x + 7x2 = 1X + -98x + 49xX Solving -13x + 7x2 = 1X + -98x + 49xX Solving for variable 'x'. Reorder the terms: -1X + -13x + 98x + -49xX + 7x2 = 1X + -98x + 49xX + -1X + 98x + -49xX Combine like terms: -13x + 98x = 85x -1X + 85x + -49xX + 7x2 = 1X + -98x + 49xX + -1X + 98x + -49xX Reorder the terms: -1X + 85x + -49xX + 7x2 = 1X + -1X + -98x + 98x + 49xX + -49xX Combine like terms: 1X + -1X = 0 -1X + 85x + -49xX + 7x2 = 0 + -98x + 98x + 49xX + -49xX -1X + 85x + -49xX + 7x2 = -98x + 98x + 49xX + -49xX Combine like terms: -98x + 98x = 0 -1X + 85x + -49xX + 7x2 = 0 + 49xX + -49xX -1X + 85x + -49xX + 7x2 = 49xX + -49xX Combine like terms: 49xX + -49xX = 0 -1X + 85x + -49xX + 7x2 = 0 The solution to this equation could not be determined.
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