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Simplifying (X + 5)(x + -1) = (2x + 9)(x + -1) Reorder the terms: (5 + X)(x + -1) = (2x + 9)(x + -1) Reorder the terms: (5 + X)(-1 + x) = (2x + 9)(x + -1) Multiply (5 + X) * (-1 + x) (5(-1 + x) + X(-1 + x)) = (2x + 9)(x + -1) ((-1 * 5 + x * 5) + X(-1 + x)) = (2x + 9)(x + -1) ((-5 + 5x) + X(-1 + x)) = (2x + 9)(x + -1) (-5 + 5x + (-1 * X + x * X)) = (2x + 9)(x + -1) (-5 + 5x + (-1X + xX)) = (2x + 9)(x + -1) Reorder the terms: (-5 + -1X + 5x + xX) = (2x + 9)(x + -1) (-5 + -1X + 5x + xX) = (2x + 9)(x + -1) Reorder the terms: -5 + -1X + 5x + xX = (9 + 2x)(x + -1) Reorder the terms: -5 + -1X + 5x + xX = (9 + 2x)(-1 + x) Multiply (9 + 2x) * (-1 + x) -5 + -1X + 5x + xX = (9(-1 + x) + 2x * (-1 + x)) -5 + -1X + 5x + xX = ((-1 * 9 + x * 9) + 2x * (-1 + x)) -5 + -1X + 5x + xX = ((-9 + 9x) + 2x * (-1 + x)) -5 + -1X + 5x + xX = (-9 + 9x + (-1 * 2x + x * 2x)) -5 + -1X + 5x + xX = (-9 + 9x + (-2x + 2x2)) Combine like terms: 9x + -2x = 7x -5 + -1X + 5x + xX = (-9 + 7x + 2x2) Solving -5 + -1X + 5x + xX = -9 + 7x + 2x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -1X + 5x + 5 + xX = -9 + 7x + 5 + 2x2 Reorder the terms: -5 + 5 + -1X + 5x + xX = -9 + 7x + 5 + 2x2 Combine like terms: -5 + 5 = 0 0 + -1X + 5x + xX = -9 + 7x + 5 + 2x2 -1X + 5x + xX = -9 + 7x + 5 + 2x2 Reorder the terms: -1X + 5x + xX = -9 + 5 + 7x + 2x2 Combine like terms: -9 + 5 = -4 -1X + 5x + xX = -4 + 7x + 2x2 Add '-5x' to each side of the equation. -1X + 5x + -5x + xX = -4 + 7x + -5x + 2x2 Combine like terms: 5x + -5x = 0 -1X + 0 + xX = -4 + 7x + -5x + 2x2 -1X + xX = -4 + 7x + -5x + 2x2 Combine like terms: 7x + -5x = 2x -1X + xX = -4 + 2x + 2x2 Reorder the terms: 4 + -1X + -2x + xX + -2x2 = -4 + 2x + 2x2 + 4 + -2x + -2x2 Reorder the terms: 4 + -1X + -2x + xX + -2x2 = -4 + 4 + 2x + -2x + 2x2 + -2x2 Combine like terms: -4 + 4 = 0 4 + -1X + -2x + xX + -2x2 = 0 + 2x + -2x + 2x2 + -2x2 4 + -1X + -2x + xX + -2x2 = 2x + -2x + 2x2 + -2x2 Combine like terms: 2x + -2x = 0 4 + -1X + -2x + xX + -2x2 = 0 + 2x2 + -2x2 4 + -1X + -2x + xX + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 4 + -1X + -2x + xX + -2x2 = 0 The solution to this equation could not be determined.
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