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Simplifying (X + 4)(x + -3) = (x + 1)(x + -2) Reorder the terms: (4 + X)(x + -3) = (x + 1)(x + -2) Reorder the terms: (4 + X)(-3 + x) = (x + 1)(x + -2) Multiply (4 + X) * (-3 + x) (4(-3 + x) + X(-3 + x)) = (x + 1)(x + -2) ((-3 * 4 + x * 4) + X(-3 + x)) = (x + 1)(x + -2) ((-12 + 4x) + X(-3 + x)) = (x + 1)(x + -2) (-12 + 4x + (-3 * X + x * X)) = (x + 1)(x + -2) (-12 + 4x + (-3X + xX)) = (x + 1)(x + -2) Reorder the terms: (-12 + -3X + 4x + xX) = (x + 1)(x + -2) (-12 + -3X + 4x + xX) = (x + 1)(x + -2) Reorder the terms: -12 + -3X + 4x + xX = (1 + x)(x + -2) Reorder the terms: -12 + -3X + 4x + xX = (1 + x)(-2 + x) Multiply (1 + x) * (-2 + x) -12 + -3X + 4x + xX = (1(-2 + x) + x(-2 + x)) -12 + -3X + 4x + xX = ((-2 * 1 + x * 1) + x(-2 + x)) -12 + -3X + 4x + xX = ((-2 + 1x) + x(-2 + x)) -12 + -3X + 4x + xX = (-2 + 1x + (-2 * x + x * x)) -12 + -3X + 4x + xX = (-2 + 1x + (-2x + x2)) Combine like terms: 1x + -2x = -1x -12 + -3X + 4x + xX = (-2 + -1x + x2) Solving -12 + -3X + 4x + xX = -2 + -1x + x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -3X + 4x + 12 + xX = -2 + -1x + 12 + x2 Reorder the terms: -12 + 12 + -3X + 4x + xX = -2 + -1x + 12 + x2 Combine like terms: -12 + 12 = 0 0 + -3X + 4x + xX = -2 + -1x + 12 + x2 -3X + 4x + xX = -2 + -1x + 12 + x2 Reorder the terms: -3X + 4x + xX = -2 + 12 + -1x + x2 Combine like terms: -2 + 12 = 10 -3X + 4x + xX = 10 + -1x + x2 Add '-4x' to each side of the equation. -3X + 4x + -4x + xX = 10 + -1x + -4x + x2 Combine like terms: 4x + -4x = 0 -3X + 0 + xX = 10 + -1x + -4x + x2 -3X + xX = 10 + -1x + -4x + x2 Combine like terms: -1x + -4x = -5x -3X + xX = 10 + -5x + x2 Reorder the terms: -10 + -3X + 5x + xX + -1x2 = 10 + -5x + x2 + -10 + 5x + -1x2 Reorder the terms: -10 + -3X + 5x + xX + -1x2 = 10 + -10 + -5x + 5x + x2 + -1x2 Combine like terms: 10 + -10 = 0 -10 + -3X + 5x + xX + -1x2 = 0 + -5x + 5x + x2 + -1x2 -10 + -3X + 5x + xX + -1x2 = -5x + 5x + x2 + -1x2 Combine like terms: -5x + 5x = 0 -10 + -3X + 5x + xX + -1x2 = 0 + x2 + -1x2 -10 + -3X + 5x + xX + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -10 + -3X + 5x + xX + -1x2 = 0 The solution to this equation could not be determined.
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