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Simplifying (X + 4)(x + 3) = 30 Reorder the terms: (4 + X)(x + 3) = 30 Reorder the terms: (4 + X)(3 + x) = 30 Multiply (4 + X) * (3 + x) (4(3 + x) + X(3 + x)) = 30 ((3 * 4 + x * 4) + X(3 + x)) = 30 ((12 + 4x) + X(3 + x)) = 30 (12 + 4x + (3 * X + x * X)) = 30 (12 + 4x + (3X + xX)) = 30 Reorder the terms: (12 + 3X + 4x + xX) = 30 (12 + 3X + 4x + xX) = 30 Solving 12 + 3X + 4x + xX = 30 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 3X + 4x + -12 + xX = 30 + -12 Reorder the terms: 12 + -12 + 3X + 4x + xX = 30 + -12 Combine like terms: 12 + -12 = 0 0 + 3X + 4x + xX = 30 + -12 3X + 4x + xX = 30 + -12 Combine like terms: 30 + -12 = 18 3X + 4x + xX = 18 Add '-4x' to each side of the equation. 3X + 4x + -4x + xX = 18 + -4x Combine like terms: 4x + -4x = 0 3X + 0 + xX = 18 + -4x 3X + xX = 18 + -4x Reorder the terms: -18 + 3X + 4x + xX = 18 + -4x + -18 + 4x Reorder the terms: -18 + 3X + 4x + xX = 18 + -18 + -4x + 4x Combine like terms: 18 + -18 = 0 -18 + 3X + 4x + xX = 0 + -4x + 4x -18 + 3X + 4x + xX = -4x + 4x Combine like terms: -4x + 4x = 0 -18 + 3X + 4x + xX = 0 The solution to this equation could not be determined.
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