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Simplifying (X + 4)(x + 2) = 35 Reorder the terms: (4 + X)(x + 2) = 35 Reorder the terms: (4 + X)(2 + x) = 35 Multiply (4 + X) * (2 + x) (4(2 + x) + X(2 + x)) = 35 ((2 * 4 + x * 4) + X(2 + x)) = 35 ((8 + 4x) + X(2 + x)) = 35 (8 + 4x + (2 * X + x * X)) = 35 (8 + 4x + (2X + xX)) = 35 Reorder the terms: (8 + 2X + 4x + xX) = 35 (8 + 2X + 4x + xX) = 35 Solving 8 + 2X + 4x + xX = 35 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 2X + 4x + -8 + xX = 35 + -8 Reorder the terms: 8 + -8 + 2X + 4x + xX = 35 + -8 Combine like terms: 8 + -8 = 0 0 + 2X + 4x + xX = 35 + -8 2X + 4x + xX = 35 + -8 Combine like terms: 35 + -8 = 27 2X + 4x + xX = 27 Add '-4x' to each side of the equation. 2X + 4x + -4x + xX = 27 + -4x Combine like terms: 4x + -4x = 0 2X + 0 + xX = 27 + -4x 2X + xX = 27 + -4x Reorder the terms: -27 + 2X + 4x + xX = 27 + -4x + -27 + 4x Reorder the terms: -27 + 2X + 4x + xX = 27 + -27 + -4x + 4x Combine like terms: 27 + -27 = 0 -27 + 2X + 4x + xX = 0 + -4x + 4x -27 + 2X + 4x + xX = -4x + 4x Combine like terms: -4x + 4x = 0 -27 + 2X + 4x + xX = 0 The solution to this equation could not be determined.
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