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Simplifying (X + -2)(x + 5) = 78 Reorder the terms: (-2 + X)(x + 5) = 78 Reorder the terms: (-2 + X)(5 + x) = 78 Multiply (-2 + X) * (5 + x) (-2(5 + x) + X(5 + x)) = 78 ((5 * -2 + x * -2) + X(5 + x)) = 78 ((-10 + -2x) + X(5 + x)) = 78 (-10 + -2x + (5 * X + x * X)) = 78 (-10 + -2x + (5X + xX)) = 78 Reorder the terms: (-10 + 5X + -2x + xX) = 78 (-10 + 5X + -2x + xX) = 78 Solving -10 + 5X + -2x + xX = 78 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 5X + -2x + 10 + xX = 78 + 10 Reorder the terms: -10 + 10 + 5X + -2x + xX = 78 + 10 Combine like terms: -10 + 10 = 0 0 + 5X + -2x + xX = 78 + 10 5X + -2x + xX = 78 + 10 Combine like terms: 78 + 10 = 88 5X + -2x + xX = 88 Add '2x' to each side of the equation. 5X + -2x + 2x + xX = 88 + 2x Combine like terms: -2x + 2x = 0 5X + 0 + xX = 88 + 2x 5X + xX = 88 + 2x Reorder the terms: -88 + 5X + -2x + xX = 88 + 2x + -88 + -2x Reorder the terms: -88 + 5X + -2x + xX = 88 + -88 + 2x + -2x Combine like terms: 88 + -88 = 0 -88 + 5X + -2x + xX = 0 + 2x + -2x -88 + 5X + -2x + xX = 2x + -2x Combine like terms: 2x + -2x = 0 -88 + 5X + -2x + xX = 0 The solution to this equation could not be determined.
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