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Simplifying (X + 4)(x + -6) + 12 = -2x Reorder the terms: (4 + X)(x + -6) + 12 = -2x Reorder the terms: (4 + X)(-6 + x) + 12 = -2x Multiply (4 + X) * (-6 + x) (4(-6 + x) + X(-6 + x)) + 12 = -2x ((-6 * 4 + x * 4) + X(-6 + x)) + 12 = -2x ((-24 + 4x) + X(-6 + x)) + 12 = -2x (-24 + 4x + (-6 * X + x * X)) + 12 = -2x (-24 + 4x + (-6X + xX)) + 12 = -2x Reorder the terms: (-24 + -6X + 4x + xX) + 12 = -2x (-24 + -6X + 4x + xX) + 12 = -2x Reorder the terms: -24 + 12 + -6X + 4x + xX = -2x Combine like terms: -24 + 12 = -12 -12 + -6X + 4x + xX = -2x Solving -12 + -6X + 4x + xX = -2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -6X + 4x + 12 + xX = 12 + -2x Reorder the terms: -12 + 12 + -6X + 4x + xX = 12 + -2x Combine like terms: -12 + 12 = 0 0 + -6X + 4x + xX = 12 + -2x -6X + 4x + xX = 12 + -2x Add '-4x' to each side of the equation. -6X + 4x + -4x + xX = 12 + -2x + -4x Combine like terms: 4x + -4x = 0 -6X + 0 + xX = 12 + -2x + -4x -6X + xX = 12 + -2x + -4x Combine like terms: -2x + -4x = -6x -6X + xX = 12 + -6x Reorder the terms: -12 + -6X + 6x + xX = 12 + -6x + -12 + 6x Reorder the terms: -12 + -6X + 6x + xX = 12 + -12 + -6x + 6x Combine like terms: 12 + -12 = 0 -12 + -6X + 6x + xX = 0 + -6x + 6x -12 + -6X + 6x + xX = -6x + 6x Combine like terms: -6x + 6x = 0 -12 + -6X + 6x + xX = 0 The solution to this equation could not be determined.
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