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Simplifying (X + -5)(x + 4) = 52 Reorder the terms: (-5 + X)(x + 4) = 52 Reorder the terms: (-5 + X)(4 + x) = 52 Multiply (-5 + X) * (4 + x) (-5(4 + x) + X(4 + x)) = 52 ((4 * -5 + x * -5) + X(4 + x)) = 52 ((-20 + -5x) + X(4 + x)) = 52 (-20 + -5x + (4 * X + x * X)) = 52 (-20 + -5x + (4X + xX)) = 52 Reorder the terms: (-20 + 4X + -5x + xX) = 52 (-20 + 4X + -5x + xX) = 52 Solving -20 + 4X + -5x + xX = 52 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 4X + -5x + 20 + xX = 52 + 20 Reorder the terms: -20 + 20 + 4X + -5x + xX = 52 + 20 Combine like terms: -20 + 20 = 0 0 + 4X + -5x + xX = 52 + 20 4X + -5x + xX = 52 + 20 Combine like terms: 52 + 20 = 72 4X + -5x + xX = 72 Add '5x' to each side of the equation. 4X + -5x + 5x + xX = 72 + 5x Combine like terms: -5x + 5x = 0 4X + 0 + xX = 72 + 5x 4X + xX = 72 + 5x Reorder the terms: -72 + 4X + -5x + xX = 72 + 5x + -72 + -5x Reorder the terms: -72 + 4X + -5x + xX = 72 + -72 + 5x + -5x Combine like terms: 72 + -72 = 0 -72 + 4X + -5x + xX = 0 + 5x + -5x -72 + 4X + -5x + xX = 5x + -5x Combine like terms: 5x + -5x = 0 -72 + 4X + -5x + xX = 0 The solution to this equation could not be determined.
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