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Simplifying (X + 5)(x + -2) = 120 Reorder the terms: (5 + X)(x + -2) = 120 Reorder the terms: (5 + X)(-2 + x) = 120 Multiply (5 + X) * (-2 + x) (5(-2 + x) + X(-2 + x)) = 120 ((-2 * 5 + x * 5) + X(-2 + x)) = 120 ((-10 + 5x) + X(-2 + x)) = 120 (-10 + 5x + (-2 * X + x * X)) = 120 (-10 + 5x + (-2X + xX)) = 120 Reorder the terms: (-10 + -2X + 5x + xX) = 120 (-10 + -2X + 5x + xX) = 120 Solving -10 + -2X + 5x + xX = 120 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 + -2X + 5x + 10 + xX = 120 + 10 Reorder the terms: -10 + 10 + -2X + 5x + xX = 120 + 10 Combine like terms: -10 + 10 = 0 0 + -2X + 5x + xX = 120 + 10 -2X + 5x + xX = 120 + 10 Combine like terms: 120 + 10 = 130 -2X + 5x + xX = 130 Add '-5x' to each side of the equation. -2X + 5x + -5x + xX = 130 + -5x Combine like terms: 5x + -5x = 0 -2X + 0 + xX = 130 + -5x -2X + xX = 130 + -5x Reorder the terms: -130 + -2X + 5x + xX = 130 + -5x + -130 + 5x Reorder the terms: -130 + -2X + 5x + xX = 130 + -130 + -5x + 5x Combine like terms: 130 + -130 = 0 -130 + -2X + 5x + xX = 0 + -5x + 5x -130 + -2X + 5x + xX = -5x + 5x Combine like terms: -5x + 5x = 0 -130 + -2X + 5x + xX = 0 The solution to this equation could not be determined.
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