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Simplifying (X + -6)(x + -2) = 96 Reorder the terms: (-6 + X)(x + -2) = 96 Reorder the terms: (-6 + X)(-2 + x) = 96 Multiply (-6 + X) * (-2 + x) (-6(-2 + x) + X(-2 + x)) = 96 ((-2 * -6 + x * -6) + X(-2 + x)) = 96 ((12 + -6x) + X(-2 + x)) = 96 (12 + -6x + (-2 * X + x * X)) = 96 (12 + -6x + (-2X + xX)) = 96 Reorder the terms: (12 + -2X + -6x + xX) = 96 (12 + -2X + -6x + xX) = 96 Solving 12 + -2X + -6x + xX = 96 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 + -2X + -6x + -12 + xX = 96 + -12 Reorder the terms: 12 + -12 + -2X + -6x + xX = 96 + -12 Combine like terms: 12 + -12 = 0 0 + -2X + -6x + xX = 96 + -12 -2X + -6x + xX = 96 + -12 Combine like terms: 96 + -12 = 84 -2X + -6x + xX = 84 Add '6x' to each side of the equation. -2X + -6x + 6x + xX = 84 + 6x Combine like terms: -6x + 6x = 0 -2X + 0 + xX = 84 + 6x -2X + xX = 84 + 6x Reorder the terms: -84 + -2X + -6x + xX = 84 + 6x + -84 + -6x Reorder the terms: -84 + -2X + -6x + xX = 84 + -84 + 6x + -6x Combine like terms: 84 + -84 = 0 -84 + -2X + -6x + xX = 0 + 6x + -6x -84 + -2X + -6x + xX = 6x + -6x Combine like terms: 6x + -6x = 0 -84 + -2X + -6x + xX = 0 The solution to this equation could not be determined.
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