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Simplifying (X + -2)(Y + 2) = 10 Reorder the terms: (-2 + X)(Y + 2) = 10 Reorder the terms: (-2 + X)(2 + Y) = 10 Multiply (-2 + X) * (2 + Y) (-2(2 + Y) + X(2 + Y)) = 10 ((2 * -2 + Y * -2) + X(2 + Y)) = 10 ((-4 + -2Y) + X(2 + Y)) = 10 (-4 + -2Y + (2 * X + Y * X)) = 10 (-4 + -2Y + (2X + XY)) = 10 Reorder the terms: (-4 + 2X + XY + -2Y) = 10 (-4 + 2X + XY + -2Y) = 10 Solving -4 + 2X + XY + -2Y = 10 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 2X + XY + 4 + -2Y = 10 + 4 Reorder the terms: -4 + 4 + 2X + XY + -2Y = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 2X + XY + -2Y = 10 + 4 2X + XY + -2Y = 10 + 4 Combine like terms: 10 + 4 = 14 2X + XY + -2Y = 14 Add '2Y' to each side of the equation. 2X + XY + -2Y + 2Y = 14 + 2Y Combine like terms: -2Y + 2Y = 0 2X + XY + 0 = 14 + 2Y 2X + XY = 14 + 2Y Reorder the terms: -14 + 2X + XY + -2Y = 14 + 2Y + -14 + -2Y Reorder the terms: -14 + 2X + XY + -2Y = 14 + -14 + 2Y + -2Y Combine like terms: 14 + -14 = 0 -14 + 2X + XY + -2Y = 0 + 2Y + -2Y -14 + 2X + XY + -2Y = 2Y + -2Y Combine like terms: 2Y + -2Y = 0 -14 + 2X + XY + -2Y = 0 The solution to this equation could not be determined.
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