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Simplifying (X + 15)(5x + 3) = 180 Reorder the terms: (15 + X)(5x + 3) = 180 Reorder the terms: (15 + X)(3 + 5x) = 180 Multiply (15 + X) * (3 + 5x) (15(3 + 5x) + X(3 + 5x)) = 180 ((3 * 15 + 5x * 15) + X(3 + 5x)) = 180 ((45 + 75x) + X(3 + 5x)) = 180 (45 + 75x + (3 * X + 5x * X)) = 180 (45 + 75x + (3X + 5xX)) = 180 Reorder the terms: (45 + 3X + 75x + 5xX) = 180 (45 + 3X + 75x + 5xX) = 180 Solving 45 + 3X + 75x + 5xX = 180 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + 3X + 75x + -45 + 5xX = 180 + -45 Reorder the terms: 45 + -45 + 3X + 75x + 5xX = 180 + -45 Combine like terms: 45 + -45 = 0 0 + 3X + 75x + 5xX = 180 + -45 3X + 75x + 5xX = 180 + -45 Combine like terms: 180 + -45 = 135 3X + 75x + 5xX = 135 Add '-75x' to each side of the equation. 3X + 75x + -75x + 5xX = 135 + -75x Combine like terms: 75x + -75x = 0 3X + 0 + 5xX = 135 + -75x 3X + 5xX = 135 + -75x Reorder the terms: -135 + 3X + 75x + 5xX = 135 + -75x + -135 + 75x Reorder the terms: -135 + 3X + 75x + 5xX = 135 + -135 + -75x + 75x Combine like terms: 135 + -135 = 0 -135 + 3X + 75x + 5xX = 0 + -75x + 75x -135 + 3X + 75x + 5xX = -75x + 75x Combine like terms: -75x + 75x = 0 -135 + 3X + 75x + 5xX = 0 The solution to this equation could not be determined.
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