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Simplifying (X + 3)(x + 1) = (x + 2)(x + 4) Reorder the terms: (3 + X)(x + 1) = (x + 2)(x + 4) Reorder the terms: (3 + X)(1 + x) = (x + 2)(x + 4) Multiply (3 + X) * (1 + x) (3(1 + x) + X(1 + x)) = (x + 2)(x + 4) ((1 * 3 + x * 3) + X(1 + x)) = (x + 2)(x + 4) ((3 + 3x) + X(1 + x)) = (x + 2)(x + 4) (3 + 3x + (1 * X + x * X)) = (x + 2)(x + 4) (3 + 3x + (1X + xX)) = (x + 2)(x + 4) Reorder the terms: (3 + 1X + 3x + xX) = (x + 2)(x + 4) (3 + 1X + 3x + xX) = (x + 2)(x + 4) Reorder the terms: 3 + 1X + 3x + xX = (2 + x)(x + 4) Reorder the terms: 3 + 1X + 3x + xX = (2 + x)(4 + x) Multiply (2 + x) * (4 + x) 3 + 1X + 3x + xX = (2(4 + x) + x(4 + x)) 3 + 1X + 3x + xX = ((4 * 2 + x * 2) + x(4 + x)) 3 + 1X + 3x + xX = ((8 + 2x) + x(4 + x)) 3 + 1X + 3x + xX = (8 + 2x + (4 * x + x * x)) 3 + 1X + 3x + xX = (8 + 2x + (4x + x2)) Combine like terms: 2x + 4x = 6x 3 + 1X + 3x + xX = (8 + 6x + x2) Solving 3 + 1X + 3x + xX = 8 + 6x + x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 1X + 3x + -3 + xX = 8 + 6x + -3 + x2 Reorder the terms: 3 + -3 + 1X + 3x + xX = 8 + 6x + -3 + x2 Combine like terms: 3 + -3 = 0 0 + 1X + 3x + xX = 8 + 6x + -3 + x2 1X + 3x + xX = 8 + 6x + -3 + x2 Reorder the terms: 1X + 3x + xX = 8 + -3 + 6x + x2 Combine like terms: 8 + -3 = 5 1X + 3x + xX = 5 + 6x + x2 Add '-3x' to each side of the equation. 1X + 3x + -3x + xX = 5 + 6x + -3x + x2 Combine like terms: 3x + -3x = 0 1X + 0 + xX = 5 + 6x + -3x + x2 1X + xX = 5 + 6x + -3x + x2 Combine like terms: 6x + -3x = 3x 1X + xX = 5 + 3x + x2 Reorder the terms: -5 + 1X + -3x + xX + -1x2 = 5 + 3x + x2 + -5 + -3x + -1x2 Reorder the terms: -5 + 1X + -3x + xX + -1x2 = 5 + -5 + 3x + -3x + x2 + -1x2 Combine like terms: 5 + -5 = 0 -5 + 1X + -3x + xX + -1x2 = 0 + 3x + -3x + x2 + -1x2 -5 + 1X + -3x + xX + -1x2 = 3x + -3x + x2 + -1x2 Combine like terms: 3x + -3x = 0 -5 + 1X + -3x + xX + -1x2 = 0 + x2 + -1x2 -5 + 1X + -3x + xX + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5 + 1X + -3x + xX + -1x2 = 0 The solution to this equation could not be determined.
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