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Simplifying (X + 2)(x + 4) = x(x + 20) Reorder the terms: (2 + X)(x + 4) = x(x + 20) Reorder the terms: (2 + X)(4 + x) = x(x + 20) Multiply (2 + X) * (4 + x) (2(4 + x) + X(4 + x)) = x(x + 20) ((4 * 2 + x * 2) + X(4 + x)) = x(x + 20) ((8 + 2x) + X(4 + x)) = x(x + 20) (8 + 2x + (4 * X + x * X)) = x(x + 20) (8 + 2x + (4X + xX)) = x(x + 20) Reorder the terms: (8 + 4X + 2x + xX) = x(x + 20) (8 + 4X + 2x + xX) = x(x + 20) Reorder the terms: 8 + 4X + 2x + xX = x(20 + x) 8 + 4X + 2x + xX = (20 * x + x * x) 8 + 4X + 2x + xX = (20x + x2) Solving 8 + 4X + 2x + xX = 20x + x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 4X + 2x + -8 + xX = 20x + -8 + x2 Reorder the terms: 8 + -8 + 4X + 2x + xX = 20x + -8 + x2 Combine like terms: 8 + -8 = 0 0 + 4X + 2x + xX = 20x + -8 + x2 4X + 2x + xX = 20x + -8 + x2 Reorder the terms: 4X + 2x + xX = -8 + 20x + x2 Add '-2x' to each side of the equation. 4X + 2x + -2x + xX = -8 + 20x + -2x + x2 Combine like terms: 2x + -2x = 0 4X + 0 + xX = -8 + 20x + -2x + x2 4X + xX = -8 + 20x + -2x + x2 Combine like terms: 20x + -2x = 18x 4X + xX = -8 + 18x + x2 Reorder the terms: 8 + 4X + -18x + xX + -1x2 = -8 + 18x + x2 + 8 + -18x + -1x2 Reorder the terms: 8 + 4X + -18x + xX + -1x2 = -8 + 8 + 18x + -18x + x2 + -1x2 Combine like terms: -8 + 8 = 0 8 + 4X + -18x + xX + -1x2 = 0 + 18x + -18x + x2 + -1x2 8 + 4X + -18x + xX + -1x2 = 18x + -18x + x2 + -1x2 Combine like terms: 18x + -18x = 0 8 + 4X + -18x + xX + -1x2 = 0 + x2 + -1x2 8 + 4X + -18x + xX + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 8 + 4X + -18x + xX + -1x2 = 0 The solution to this equation could not be determined.
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