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Simplifying (X + 9)(x + -2) = 102 Reorder the terms: (9 + X)(x + -2) = 102 Reorder the terms: (9 + X)(-2 + x) = 102 Multiply (9 + X) * (-2 + x) (9(-2 + x) + X(-2 + x)) = 102 ((-2 * 9 + x * 9) + X(-2 + x)) = 102 ((-18 + 9x) + X(-2 + x)) = 102 (-18 + 9x + (-2 * X + x * X)) = 102 (-18 + 9x + (-2X + xX)) = 102 Reorder the terms: (-18 + -2X + 9x + xX) = 102 (-18 + -2X + 9x + xX) = 102 Solving -18 + -2X + 9x + xX = 102 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '18' to each side of the equation. -18 + -2X + 9x + 18 + xX = 102 + 18 Reorder the terms: -18 + 18 + -2X + 9x + xX = 102 + 18 Combine like terms: -18 + 18 = 0 0 + -2X + 9x + xX = 102 + 18 -2X + 9x + xX = 102 + 18 Combine like terms: 102 + 18 = 120 -2X + 9x + xX = 120 Add '-9x' to each side of the equation. -2X + 9x + -9x + xX = 120 + -9x Combine like terms: 9x + -9x = 0 -2X + 0 + xX = 120 + -9x -2X + xX = 120 + -9x Reorder the terms: -120 + -2X + 9x + xX = 120 + -9x + -120 + 9x Reorder the terms: -120 + -2X + 9x + xX = 120 + -120 + -9x + 9x Combine like terms: 120 + -120 = 0 -120 + -2X + 9x + xX = 0 + -9x + 9x -120 + -2X + 9x + xX = -9x + 9x Combine like terms: -9x + 9x = 0 -120 + -2X + 9x + xX = 0 The solution to this equation could not be determined.
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