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Simplifying (X + 15)(x + 9) = 270 Reorder the terms: (15 + X)(x + 9) = 270 Reorder the terms: (15 + X)(9 + x) = 270 Multiply (15 + X) * (9 + x) (15(9 + x) + X(9 + x)) = 270 ((9 * 15 + x * 15) + X(9 + x)) = 270 ((135 + 15x) + X(9 + x)) = 270 (135 + 15x + (9 * X + x * X)) = 270 (135 + 15x + (9X + xX)) = 270 Reorder the terms: (135 + 9X + 15x + xX) = 270 (135 + 9X + 15x + xX) = 270 Solving 135 + 9X + 15x + xX = 270 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-135' to each side of the equation. 135 + 9X + 15x + -135 + xX = 270 + -135 Reorder the terms: 135 + -135 + 9X + 15x + xX = 270 + -135 Combine like terms: 135 + -135 = 0 0 + 9X + 15x + xX = 270 + -135 9X + 15x + xX = 270 + -135 Combine like terms: 270 + -135 = 135 9X + 15x + xX = 135 Add '-15x' to each side of the equation. 9X + 15x + -15x + xX = 135 + -15x Combine like terms: 15x + -15x = 0 9X + 0 + xX = 135 + -15x 9X + xX = 135 + -15x Reorder the terms: -135 + 9X + 15x + xX = 135 + -15x + -135 + 15x Reorder the terms: -135 + 9X + 15x + xX = 135 + -135 + -15x + 15x Combine like terms: 135 + -135 = 0 -135 + 9X + 15x + xX = 0 + -15x + 15x -135 + 9X + 15x + xX = -15x + 15x Combine like terms: -15x + 15x = 0 -135 + 9X + 15x + xX = 0 The solution to this equation could not be determined.
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