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Simplifying (X + 2)(x + -2) = 5(x + 4) Reorder the terms: (2 + X)(x + -2) = 5(x + 4) Reorder the terms: (2 + X)(-2 + x) = 5(x + 4) Multiply (2 + X) * (-2 + x) (2(-2 + x) + X(-2 + x)) = 5(x + 4) ((-2 * 2 + x * 2) + X(-2 + x)) = 5(x + 4) ((-4 + 2x) + X(-2 + x)) = 5(x + 4) (-4 + 2x + (-2 * X + x * X)) = 5(x + 4) (-4 + 2x + (-2X + xX)) = 5(x + 4) Reorder the terms: (-4 + -2X + 2x + xX) = 5(x + 4) (-4 + -2X + 2x + xX) = 5(x + 4) Reorder the terms: -4 + -2X + 2x + xX = 5(4 + x) -4 + -2X + 2x + xX = (4 * 5 + x * 5) -4 + -2X + 2x + xX = (20 + 5x) Solving -4 + -2X + 2x + xX = 20 + 5x 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 + 2x + 4 + xX = 20 + 4 + 5x Reorder the terms: -4 + 4 + -2X + 2x + xX = 20 + 4 + 5x Combine like terms: -4 + 4 = 0 0 + -2X + 2x + xX = 20 + 4 + 5x -2X + 2x + xX = 20 + 4 + 5x Combine like terms: 20 + 4 = 24 -2X + 2x + xX = 24 + 5x Add '-2x' to each side of the equation. -2X + 2x + -2x + xX = 24 + 5x + -2x Combine like terms: 2x + -2x = 0 -2X + 0 + xX = 24 + 5x + -2x -2X + xX = 24 + 5x + -2x Combine like terms: 5x + -2x = 3x -2X + xX = 24 + 3x Reorder the terms: -24 + -2X + -3x + xX = 24 + 3x + -24 + -3x Reorder the terms: -24 + -2X + -3x + xX = 24 + -24 + 3x + -3x Combine like terms: 24 + -24 = 0 -24 + -2X + -3x + xX = 0 + 3x + -3x -24 + -2X + -3x + xX = 3x + -3x Combine like terms: 3x + -3x = 0 -24 + -2X + -3x + xX = 0 The solution to this equation could not be determined.
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