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Simplifying (X + 9)(x + 4) = 76 Reorder the terms: (9 + X)(x + 4) = 76 Reorder the terms: (9 + X)(4 + x) = 76 Multiply (9 + X) * (4 + x) (9(4 + x) + X(4 + x)) = 76 ((4 * 9 + x * 9) + X(4 + x)) = 76 ((36 + 9x) + X(4 + x)) = 76 (36 + 9x + (4 * X + x * X)) = 76 (36 + 9x + (4X + xX)) = 76 Reorder the terms: (36 + 4X + 9x + xX) = 76 (36 + 4X + 9x + xX) = 76 Solving 36 + 4X + 9x + xX = 76 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 + 4X + 9x + -36 + xX = 76 + -36 Reorder the terms: 36 + -36 + 4X + 9x + xX = 76 + -36 Combine like terms: 36 + -36 = 0 0 + 4X + 9x + xX = 76 + -36 4X + 9x + xX = 76 + -36 Combine like terms: 76 + -36 = 40 4X + 9x + xX = 40 Add '-9x' to each side of the equation. 4X + 9x + -9x + xX = 40 + -9x Combine like terms: 9x + -9x = 0 4X + 0 + xX = 40 + -9x 4X + xX = 40 + -9x Reorder the terms: -40 + 4X + 9x + xX = 40 + -9x + -40 + 9x Reorder the terms: -40 + 4X + 9x + xX = 40 + -40 + -9x + 9x Combine like terms: 40 + -40 = 0 -40 + 4X + 9x + xX = 0 + -9x + 9x -40 + 4X + 9x + xX = -9x + 9x Combine like terms: -9x + 9x = 0 -40 + 4X + 9x + xX = 0 The solution to this equation could not be determined.
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