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Simplifying (X + 6)(x + 20) = 900 Reorder the terms: (6 + X)(x + 20) = 900 Reorder the terms: (6 + X)(20 + x) = 900 Multiply (6 + X) * (20 + x) (6(20 + x) + X(20 + x)) = 900 ((20 * 6 + x * 6) + X(20 + x)) = 900 ((120 + 6x) + X(20 + x)) = 900 (120 + 6x + (20 * X + x * X)) = 900 (120 + 6x + (20X + xX)) = 900 Reorder the terms: (120 + 20X + 6x + xX) = 900 (120 + 20X + 6x + xX) = 900 Solving 120 + 20X + 6x + xX = 900 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + 20X + 6x + -120 + xX = 900 + -120 Reorder the terms: 120 + -120 + 20X + 6x + xX = 900 + -120 Combine like terms: 120 + -120 = 0 0 + 20X + 6x + xX = 900 + -120 20X + 6x + xX = 900 + -120 Combine like terms: 900 + -120 = 780 20X + 6x + xX = 780 Add '-6x' to each side of the equation. 20X + 6x + -6x + xX = 780 + -6x Combine like terms: 6x + -6x = 0 20X + 0 + xX = 780 + -6x 20X + xX = 780 + -6x Reorder the terms: -780 + 20X + 6x + xX = 780 + -6x + -780 + 6x Reorder the terms: -780 + 20X + 6x + xX = 780 + -780 + -6x + 6x Combine like terms: 780 + -780 = 0 -780 + 20X + 6x + xX = 0 + -6x + 6x -780 + 20X + 6x + xX = -6x + 6x Combine like terms: -6x + 6x = 0 -780 + 20X + 6x + xX = 0 The solution to this equation could not be determined.
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