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Simplifying (X + 6)(3x + 5) + (x + 6) = 0 Reorder the terms: (6 + X)(3x + 5) + (x + 6) = 0 Reorder the terms: (6 + X)(5 + 3x) + (x + 6) = 0 Multiply (6 + X) * (5 + 3x) (6(5 + 3x) + X(5 + 3x)) + (x + 6) = 0 ((5 * 6 + 3x * 6) + X(5 + 3x)) + (x + 6) = 0 ((30 + 18x) + X(5 + 3x)) + (x + 6) = 0 (30 + 18x + (5 * X + 3x * X)) + (x + 6) = 0 (30 + 18x + (5X + 3xX)) + (x + 6) = 0 Reorder the terms: (30 + 5X + 18x + 3xX) + (x + 6) = 0 (30 + 5X + 18x + 3xX) + (x + 6) = 0 Reorder the terms: 30 + 5X + 18x + 3xX + (6 + x) = 0 Remove parenthesis around (6 + x) 30 + 5X + 18x + 3xX + 6 + x = 0 Reorder the terms: 30 + 6 + 5X + 18x + x + 3xX = 0 Combine like terms: 30 + 6 = 36 36 + 5X + 18x + x + 3xX = 0 Combine like terms: 18x + x = 19x 36 + 5X + 19x + 3xX = 0 Solving 36 + 5X + 19x + 3xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + 5X + 19x + -36 + 3xX = 0 + -36 Reorder the terms: 36 + -36 + 5X + 19x + 3xX = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 5X + 19x + 3xX = 0 + -36 5X + 19x + 3xX = 0 + -36 Combine like terms: 0 + -36 = -36 5X + 19x + 3xX = -36 Add '-19x' to each side of the equation. 5X + 19x + -19x + 3xX = -36 + -19x Combine like terms: 19x + -19x = 0 5X + 0 + 3xX = -36 + -19x 5X + 3xX = -36 + -19x Reorder the terms: 36 + 5X + 19x + 3xX = -36 + -19x + 36 + 19x Reorder the terms: 36 + 5X + 19x + 3xX = -36 + 36 + -19x + 19x Combine like terms: -36 + 36 = 0 36 + 5X + 19x + 3xX = 0 + -19x + 19x 36 + 5X + 19x + 3xX = -19x + 19x Combine like terms: -19x + 19x = 0 36 + 5X + 19x + 3xX = 0 The solution to this equation could not be determined.
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