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Simplifying (X + 6)(x + -7) = -7 + 7 Reorder the terms: (6 + X)(x + -7) = -7 + 7 Reorder the terms: (6 + X)(-7 + x) = -7 + 7 Multiply (6 + X) * (-7 + x) (6(-7 + x) + X(-7 + x)) = -7 + 7 ((-7 * 6 + x * 6) + X(-7 + x)) = -7 + 7 ((-42 + 6x) + X(-7 + x)) = -7 + 7 (-42 + 6x + (-7 * X + x * X)) = -7 + 7 (-42 + 6x + (-7X + xX)) = -7 + 7 Reorder the terms: (-42 + -7X + 6x + xX) = -7 + 7 (-42 + -7X + 6x + xX) = -7 + 7 Combine like terms: -7 + 7 = 0 -42 + -7X + 6x + xX = 0 Solving -42 + -7X + 6x + xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '42' to each side of the equation. -42 + -7X + 6x + 42 + xX = 0 + 42 Reorder the terms: -42 + 42 + -7X + 6x + xX = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -7X + 6x + xX = 0 + 42 -7X + 6x + xX = 0 + 42 Combine like terms: 0 + 42 = 42 -7X + 6x + xX = 42 Add '-6x' to each side of the equation. -7X + 6x + -6x + xX = 42 + -6x Combine like terms: 6x + -6x = 0 -7X + 0 + xX = 42 + -6x -7X + xX = 42 + -6x Reorder the terms: -42 + -7X + 6x + xX = 42 + -6x + -42 + 6x Reorder the terms: -42 + -7X + 6x + xX = 42 + -42 + -6x + 6x Combine like terms: 42 + -42 = 0 -42 + -7X + 6x + xX = 0 + -6x + 6x -42 + -7X + 6x + xX = -6x + 6x Combine like terms: -6x + 6x = 0 -42 + -7X + 6x + xX = 0 The solution to this equation could not be determined.
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