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Simplifying (X + -3)(x + -7) = 117 Reorder the terms: (-3 + X)(x + -7) = 117 Reorder the terms: (-3 + X)(-7 + x) = 117 Multiply (-3 + X) * (-7 + x) (-3(-7 + x) + X(-7 + x)) = 117 ((-7 * -3 + x * -3) + X(-7 + x)) = 117 ((21 + -3x) + X(-7 + x)) = 117 (21 + -3x + (-7 * X + x * X)) = 117 (21 + -3x + (-7X + xX)) = 117 Reorder the terms: (21 + -7X + -3x + xX) = 117 (21 + -7X + -3x + xX) = 117 Solving 21 + -7X + -3x + xX = 117 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -7X + -3x + -21 + xX = 117 + -21 Reorder the terms: 21 + -21 + -7X + -3x + xX = 117 + -21 Combine like terms: 21 + -21 = 0 0 + -7X + -3x + xX = 117 + -21 -7X + -3x + xX = 117 + -21 Combine like terms: 117 + -21 = 96 -7X + -3x + xX = 96 Add '3x' to each side of the equation. -7X + -3x + 3x + xX = 96 + 3x Combine like terms: -3x + 3x = 0 -7X + 0 + xX = 96 + 3x -7X + xX = 96 + 3x Reorder the terms: -96 + -7X + -3x + xX = 96 + 3x + -96 + -3x Reorder the terms: -96 + -7X + -3x + xX = 96 + -96 + 3x + -3x Combine like terms: 96 + -96 = 0 -96 + -7X + -3x + xX = 0 + 3x + -3x -96 + -7X + -3x + xX = 3x + -3x Combine like terms: 3x + -3x = 0 -96 + -7X + -3x + xX = 0 The solution to this equation could not be determined.
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