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Simplifying (X + 7)(3x + 11) = 25(x + 7) Reorder the terms: (7 + X)(3x + 11) = 25(x + 7) Reorder the terms: (7 + X)(11 + 3x) = 25(x + 7) Multiply (7 + X) * (11 + 3x) (7(11 + 3x) + X(11 + 3x)) = 25(x + 7) ((11 * 7 + 3x * 7) + X(11 + 3x)) = 25(x + 7) ((77 + 21x) + X(11 + 3x)) = 25(x + 7) (77 + 21x + (11 * X + 3x * X)) = 25(x + 7) (77 + 21x + (11X + 3xX)) = 25(x + 7) Reorder the terms: (77 + 11X + 21x + 3xX) = 25(x + 7) (77 + 11X + 21x + 3xX) = 25(x + 7) Reorder the terms: 77 + 11X + 21x + 3xX = 25(7 + x) 77 + 11X + 21x + 3xX = (7 * 25 + x * 25) 77 + 11X + 21x + 3xX = (175 + 25x) Solving 77 + 11X + 21x + 3xX = 175 + 25x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-77' to each side of the equation. 77 + 11X + 21x + -77 + 3xX = 175 + -77 + 25x Reorder the terms: 77 + -77 + 11X + 21x + 3xX = 175 + -77 + 25x Combine like terms: 77 + -77 = 0 0 + 11X + 21x + 3xX = 175 + -77 + 25x 11X + 21x + 3xX = 175 + -77 + 25x Combine like terms: 175 + -77 = 98 11X + 21x + 3xX = 98 + 25x Add '-21x' to each side of the equation. 11X + 21x + -21x + 3xX = 98 + 25x + -21x Combine like terms: 21x + -21x = 0 11X + 0 + 3xX = 98 + 25x + -21x 11X + 3xX = 98 + 25x + -21x Combine like terms: 25x + -21x = 4x 11X + 3xX = 98 + 4x Reorder the terms: -98 + 11X + -4x + 3xX = 98 + 4x + -98 + -4x Reorder the terms: -98 + 11X + -4x + 3xX = 98 + -98 + 4x + -4x Combine like terms: 98 + -98 = 0 -98 + 11X + -4x + 3xX = 0 + 4x + -4x -98 + 11X + -4x + 3xX = 4x + -4x Combine like terms: 4x + -4x = 0 -98 + 11X + -4x + 3xX = 0 The solution to this equation could not be determined.
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