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Simplifying (X + 7)(5x + 2) = -28 Reorder the terms: (7 + X)(5x + 2) = -28 Reorder the terms: (7 + X)(2 + 5x) = -28 Multiply (7 + X) * (2 + 5x) (7(2 + 5x) + X(2 + 5x)) = -28 ((2 * 7 + 5x * 7) + X(2 + 5x)) = -28 ((14 + 35x) + X(2 + 5x)) = -28 (14 + 35x + (2 * X + 5x * X)) = -28 (14 + 35x + (2X + 5xX)) = -28 Reorder the terms: (14 + 2X + 35x + 5xX) = -28 (14 + 2X + 35x + 5xX) = -28 Solving 14 + 2X + 35x + 5xX = -28 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 2X + 35x + -14 + 5xX = -28 + -14 Reorder the terms: 14 + -14 + 2X + 35x + 5xX = -28 + -14 Combine like terms: 14 + -14 = 0 0 + 2X + 35x + 5xX = -28 + -14 2X + 35x + 5xX = -28 + -14 Combine like terms: -28 + -14 = -42 2X + 35x + 5xX = -42 Add '-35x' to each side of the equation. 2X + 35x + -35x + 5xX = -42 + -35x Combine like terms: 35x + -35x = 0 2X + 0 + 5xX = -42 + -35x 2X + 5xX = -42 + -35x Reorder the terms: 42 + 2X + 35x + 5xX = -42 + -35x + 42 + 35x Reorder the terms: 42 + 2X + 35x + 5xX = -42 + 42 + -35x + 35x Combine like terms: -42 + 42 = 0 42 + 2X + 35x + 5xX = 0 + -35x + 35x 42 + 2X + 35x + 5xX = -35x + 35x Combine like terms: -35x + 35x = 0 42 + 2X + 35x + 5xX = 0 The solution to this equation could not be determined.
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