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Simplifying (X + -2)(X + -2) + -1(X + 2)(X + 2) = 4 Reorder the terms: (-2 + X)(X + -2) + -1(X + 2)(X + 2) = 4 Reorder the terms: (-2 + X)(-2 + X) + -1(X + 2)(X + 2) = 4 Multiply (-2 + X) * (-2 + X) (-2(-2 + X) + X(-2 + X)) + -1(X + 2)(X + 2) = 4 ((-2 * -2 + X * -2) + X(-2 + X)) + -1(X + 2)(X + 2) = 4 ((4 + -2X) + X(-2 + X)) + -1(X + 2)(X + 2) = 4 (4 + -2X + (-2 * X + X * X)) + -1(X + 2)(X + 2) = 4 (4 + -2X + (-2X + X2)) + -1(X + 2)(X + 2) = 4 Combine like terms: -2X + -2X = -4X (4 + -4X + X2) + -1(X + 2)(X + 2) = 4 Reorder the terms: 4 + -4X + X2 + -1(2 + X)(X + 2) = 4 Reorder the terms: 4 + -4X + X2 + -1(2 + X)(2 + X) = 4 Multiply (2 + X) * (2 + X) 4 + -4X + X2 + -1(2(2 + X) + X(2 + X)) = 4 4 + -4X + X2 + -1((2 * 2 + X * 2) + X(2 + X)) = 4 4 + -4X + X2 + -1((4 + 2X) + X(2 + X)) = 4 4 + -4X + X2 + -1(4 + 2X + (2 * X + X * X)) = 4 4 + -4X + X2 + -1(4 + 2X + (2X + X2)) = 4 Combine like terms: 2X + 2X = 4X 4 + -4X + X2 + -1(4 + 4X + X2) = 4 4 + -4X + X2 + (4 * -1 + 4X * -1 + X2 * -1) = 4 4 + -4X + X2 + (-4 + -4X + -1X2) = 4 Reorder the terms: 4 + -4 + -4X + -4X + X2 + -1X2 = 4 Combine like terms: 4 + -4 = 0 0 + -4X + -4X + X2 + -1X2 = 4 -4X + -4X + X2 + -1X2 = 4 Combine like terms: -4X + -4X = -8X -8X + X2 + -1X2 = 4 Combine like terms: X2 + -1X2 = 0 -8X + 0 = 4 -8X = 4 Solving -8X = 4 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Divide each side by '-8'. X = -0.5 Simplifying X = -0.5
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