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Simplifying (X + 7)(x + 5) = 24x Reorder the terms: (7 + X)(x + 5) = 24x Reorder the terms: (7 + X)(5 + x) = 24x Multiply (7 + X) * (5 + x) (7(5 + x) + X(5 + x)) = 24x ((5 * 7 + x * 7) + X(5 + x)) = 24x ((35 + 7x) + X(5 + x)) = 24x (35 + 7x + (5 * X + x * X)) = 24x (35 + 7x + (5X + xX)) = 24x Reorder the terms: (35 + 5X + 7x + xX) = 24x (35 + 5X + 7x + xX) = 24x Solving 35 + 5X + 7x + xX = 24x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + 5X + 7x + -35 + xX = -35 + 24x Reorder the terms: 35 + -35 + 5X + 7x + xX = -35 + 24x Combine like terms: 35 + -35 = 0 0 + 5X + 7x + xX = -35 + 24x 5X + 7x + xX = -35 + 24x Add '-7x' to each side of the equation. 5X + 7x + -7x + xX = -35 + 24x + -7x Combine like terms: 7x + -7x = 0 5X + 0 + xX = -35 + 24x + -7x 5X + xX = -35 + 24x + -7x Combine like terms: 24x + -7x = 17x 5X + xX = -35 + 17x Reorder the terms: 35 + 5X + -17x + xX = -35 + 17x + 35 + -17x Reorder the terms: 35 + 5X + -17x + xX = -35 + 35 + 17x + -17x Combine like terms: -35 + 35 = 0 35 + 5X + -17x + xX = 0 + 17x + -17x 35 + 5X + -17x + xX = 17x + -17x Combine like terms: 17x + -17x = 0 35 + 5X + -17x + xX = 0 The solution to this equation could not be determined.
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