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Simplifying (X + 3)(x + 6) = 189 Reorder the terms: (3 + X)(x + 6) = 189 Reorder the terms: (3 + X)(6 + x) = 189 Multiply (3 + X) * (6 + x) (3(6 + x) + X(6 + x)) = 189 ((6 * 3 + x * 3) + X(6 + x)) = 189 ((18 + 3x) + X(6 + x)) = 189 (18 + 3x + (6 * X + x * X)) = 189 (18 + 3x + (6X + xX)) = 189 Reorder the terms: (18 + 6X + 3x + xX) = 189 (18 + 6X + 3x + xX) = 189 Solving 18 + 6X + 3x + xX = 189 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 6X + 3x + -18 + xX = 189 + -18 Reorder the terms: 18 + -18 + 6X + 3x + xX = 189 + -18 Combine like terms: 18 + -18 = 0 0 + 6X + 3x + xX = 189 + -18 6X + 3x + xX = 189 + -18 Combine like terms: 189 + -18 = 171 6X + 3x + xX = 171 Add '-3x' to each side of the equation. 6X + 3x + -3x + xX = 171 + -3x Combine like terms: 3x + -3x = 0 6X + 0 + xX = 171 + -3x 6X + xX = 171 + -3x Reorder the terms: -171 + 6X + 3x + xX = 171 + -3x + -171 + 3x Reorder the terms: -171 + 6X + 3x + xX = 171 + -171 + -3x + 3x Combine like terms: 171 + -171 = 0 -171 + 6X + 3x + xX = 0 + -3x + 3x -171 + 6X + 3x + xX = -3x + 3x Combine like terms: -3x + 3x = 0 -171 + 6X + 3x + xX = 0 The solution to this equation could not be determined.
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