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Simplifying (X + 1)(x + -5) + -7 = 0 Reorder the terms: (1 + X)(x + -5) + -7 = 0 Reorder the terms: (1 + X)(-5 + x) + -7 = 0 Multiply (1 + X) * (-5 + x) (1(-5 + x) + X(-5 + x)) + -7 = 0 ((-5 * 1 + x * 1) + X(-5 + x)) + -7 = 0 ((-5 + 1x) + X(-5 + x)) + -7 = 0 (-5 + 1x + (-5 * X + x * X)) + -7 = 0 (-5 + 1x + (-5X + xX)) + -7 = 0 Reorder the terms: (-5 + -5X + 1x + xX) + -7 = 0 (-5 + -5X + 1x + xX) + -7 = 0 Reorder the terms: -5 + -7 + -5X + 1x + xX = 0 Combine like terms: -5 + -7 = -12 -12 + -5X + 1x + xX = 0 Solving -12 + -5X + 1x + xX = 0 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 + -5X + 1x + 12 + xX = 0 + 12 Reorder the terms: -12 + 12 + -5X + 1x + xX = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -5X + 1x + xX = 0 + 12 -5X + 1x + xX = 0 + 12 Combine like terms: 0 + 12 = 12 -5X + 1x + xX = 12 Add '-1x' to each side of the equation. -5X + 1x + -1x + xX = 12 + -1x Combine like terms: 1x + -1x = 0 -5X + 0 + xX = 12 + -1x -5X + xX = 12 + -1x Reorder the terms: -12 + -5X + x + xX = 12 + -1x + -12 + x Reorder the terms: -12 + -5X + x + xX = 12 + -12 + -1x + x Combine like terms: 12 + -12 = 0 -12 + -5X + x + xX = 0 + -1x + x -12 + -5X + x + xX = -1x + x Combine like terms: -1x + x = 0 -12 + -5X + x + xX = 0 The solution to this equation could not be determined.
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