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Simplifying (7x + -1)(3x + -6) + -1(7x + 1)(8 + -4x) = (X + -2)(49x + 1) Reorder the terms: (-1 + 7x)(3x + -6) + -1(7x + 1)(8 + -4x) = (X + -2)(49x + 1) Reorder the terms: (-1 + 7x)(-6 + 3x) + -1(7x + 1)(8 + -4x) = (X + -2)(49x + 1) Multiply (-1 + 7x) * (-6 + 3x) (-1(-6 + 3x) + 7x * (-6 + 3x)) + -1(7x + 1)(8 + -4x) = (X + -2)(49x + 1) ((-6 * -1 + 3x * -1) + 7x * (-6 + 3x)) + -1(7x + 1)(8 + -4x) = (X + -2)(49x + 1) ((6 + -3x) + 7x * (-6 + 3x)) + -1(7x + 1)(8 + -4x) = (X + -2)(49x + 1) (6 + -3x + (-6 * 7x + 3x * 7x)) + -1(7x + 1)(8 + -4x) = (X + -2)(49x + 1) (6 + -3x + (-42x + 21x2)) + -1(7x + 1)(8 + -4x) = (X + -2)(49x + 1) Combine like terms: -3x + -42x = -45x (6 + -45x + 21x2) + -1(7x + 1)(8 + -4x) = (X + -2)(49x + 1) Reorder the terms: 6 + -45x + 21x2 + -1(1 + 7x)(8 + -4x) = (X + -2)(49x + 1) Multiply (1 + 7x) * (8 + -4x) 6 + -45x + 21x2 + -1(1(8 + -4x) + 7x * (8 + -4x)) = (X + -2)(49x + 1) 6 + -45x + 21x2 + -1((8 * 1 + -4x * 1) + 7x * (8 + -4x)) = (X + -2)(49x + 1) 6 + -45x + 21x2 + -1((8 + -4x) + 7x * (8 + -4x)) = (X + -2)(49x + 1) 6 + -45x + 21x2 + -1(8 + -4x + (8 * 7x + -4x * 7x)) = (X + -2)(49x + 1) 6 + -45x + 21x2 + -1(8 + -4x + (56x + -28x2)) = (X + -2)(49x + 1) Combine like terms: -4x + 56x = 52x 6 + -45x + 21x2 + -1(8 + 52x + -28x2) = (X + -2)(49x + 1) 6 + -45x + 21x2 + (8 * -1 + 52x * -1 + -28x2 * -1) = (X + -2)(49x + 1) 6 + -45x + 21x2 + (-8 + -52x + 28x2) = (X + -2)(49x + 1) Reorder the terms: 6 + -8 + -45x + -52x + 21x2 + 28x2 = (X + -2)(49x + 1) Combine like terms: 6 + -8 = -2 -2 + -45x + -52x + 21x2 + 28x2 = (X + -2)(49x + 1) Combine like terms: -45x + -52x = -97x -2 + -97x + 21x2 + 28x2 = (X + -2)(49x + 1) Combine like terms: 21x2 + 28x2 = 49x2 -2 + -97x + 49x2 = (X + -2)(49x + 1) Reorder the terms: -2 + -97x + 49x2 = (-2 + X)(49x + 1) Reorder the terms: -2 + -97x + 49x2 = (-2 + X)(1 + 49x) Multiply (-2 + X) * (1 + 49x) -2 + -97x + 49x2 = (-2(1 + 49x) + X(1 + 49x)) -2 + -97x + 49x2 = ((1 * -2 + 49x * -2) + X(1 + 49x)) -2 + -97x + 49x2 = ((-2 + -98x) + X(1 + 49x)) -2 + -97x + 49x2 = (-2 + -98x + (1 * X + 49x * X)) -2 + -97x + 49x2 = (-2 + -98x + (1X + 49xX)) Reorder the terms: -2 + -97x + 49x2 = (-2 + 1X + -98x + 49xX) -2 + -97x + 49x2 = (-2 + 1X + -98x + 49xX) Add '2' to each side of the equation. -2 + -97x + 2 + 49x2 = -2 + 1X + -98x + 2 + 49xX Reorder the terms: -2 + 2 + -97x + 49x2 = -2 + 1X + -98x + 2 + 49xX Combine like terms: -2 + 2 = 0 0 + -97x + 49x2 = -2 + 1X + -98x + 2 + 49xX -97x + 49x2 = -2 + 1X + -98x + 2 + 49xX Reorder the terms: -97x + 49x2 = -2 + 2 + 1X + -98x + 49xX Combine like terms: -2 + 2 = 0 -97x + 49x2 = 0 + 1X + -98x + 49xX -97x + 49x2 = 1X + -98x + 49xX Solving -97x + 49x2 = 1X + -98x + 49xX Solving for variable 'x'. Reorder the terms: -1X + -97x + 98x + -49xX + 49x2 = 1X + -98x + 49xX + -1X + 98x + -49xX Combine like terms: -97x + 98x = 1x -1X + 1x + -49xX + 49x2 = 1X + -98x + 49xX + -1X + 98x + -49xX Reorder the terms: -1X + 1x + -49xX + 49x2 = 1X + -1X + -98x + 98x + 49xX + -49xX Combine like terms: 1X + -1X = 0 -1X + 1x + -49xX + 49x2 = 0 + -98x + 98x + 49xX + -49xX -1X + 1x + -49xX + 49x2 = -98x + 98x + 49xX + -49xX Combine like terms: -98x + 98x = 0 -1X + 1x + -49xX + 49x2 = 0 + 49xX + -49xX -1X + 1x + -49xX + 49x2 = 49xX + -49xX Combine like terms: 49xX + -49xX = 0 -1X + 1x + -49xX + 49x2 = 0 The solution to this equation could not be determined.
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