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Simplifying (X + 2)(x + -7) = 38 Reorder the terms: (2 + X)(x + -7) = 38 Reorder the terms: (2 + X)(-7 + x) = 38 Multiply (2 + X) * (-7 + x) (2(-7 + x) + X(-7 + x)) = 38 ((-7 * 2 + x * 2) + X(-7 + x)) = 38 ((-14 + 2x) + X(-7 + x)) = 38 (-14 + 2x + (-7 * X + x * X)) = 38 (-14 + 2x + (-7X + xX)) = 38 Reorder the terms: (-14 + -7X + 2x + xX) = 38 (-14 + -7X + 2x + xX) = 38 Solving -14 + -7X + 2x + xX = 38 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '14' to each side of the equation. -14 + -7X + 2x + 14 + xX = 38 + 14 Reorder the terms: -14 + 14 + -7X + 2x + xX = 38 + 14 Combine like terms: -14 + 14 = 0 0 + -7X + 2x + xX = 38 + 14 -7X + 2x + xX = 38 + 14 Combine like terms: 38 + 14 = 52 -7X + 2x + xX = 52 Add '-2x' to each side of the equation. -7X + 2x + -2x + xX = 52 + -2x Combine like terms: 2x + -2x = 0 -7X + 0 + xX = 52 + -2x -7X + xX = 52 + -2x Reorder the terms: -52 + -7X + 2x + xX = 52 + -2x + -52 + 2x Reorder the terms: -52 + -7X + 2x + xX = 52 + -52 + -2x + 2x Combine like terms: 52 + -52 = 0 -52 + -7X + 2x + xX = 0 + -2x + 2x -52 + -7X + 2x + xX = -2x + 2x Combine like terms: -2x + 2x = 0 -52 + -7X + 2x + xX = 0 The solution to this equation could not be determined.
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