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Simplifying (X + -2)(x + -7) + 14 = 0 Reorder the terms: (-2 + X)(x + -7) + 14 = 0 Reorder the terms: (-2 + X)(-7 + x) + 14 = 0 Multiply (-2 + X) * (-7 + x) (-2(-7 + x) + X(-7 + x)) + 14 = 0 ((-7 * -2 + x * -2) + X(-7 + x)) + 14 = 0 ((14 + -2x) + X(-7 + x)) + 14 = 0 (14 + -2x + (-7 * X + x * X)) + 14 = 0 (14 + -2x + (-7X + xX)) + 14 = 0 Reorder the terms: (14 + -7X + -2x + xX) + 14 = 0 (14 + -7X + -2x + xX) + 14 = 0 Reorder the terms: 14 + 14 + -7X + -2x + xX = 0 Combine like terms: 14 + 14 = 28 28 + -7X + -2x + xX = 0 Solving 28 + -7X + -2x + xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -7X + -2x + -28 + xX = 0 + -28 Reorder the terms: 28 + -28 + -7X + -2x + xX = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -7X + -2x + xX = 0 + -28 -7X + -2x + xX = 0 + -28 Combine like terms: 0 + -28 = -28 -7X + -2x + xX = -28 Add '2x' to each side of the equation. -7X + -2x + 2x + xX = -28 + 2x Combine like terms: -2x + 2x = 0 -7X + 0 + xX = -28 + 2x -7X + xX = -28 + 2x Reorder the terms: 28 + -7X + -2x + xX = -28 + 2x + 28 + -2x Reorder the terms: 28 + -7X + -2x + xX = -28 + 28 + 2x + -2x Combine like terms: -28 + 28 = 0 28 + -7X + -2x + xX = 0 + 2x + -2x 28 + -7X + -2x + xX = 2x + -2x Combine like terms: 2x + -2x = 0 28 + -7X + -2x + xX = 0 The solution to this equation could not be determined.
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