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Simplifying (X + -4)(3x + -5) + (x + -4) = 0 Reorder the terms: (-4 + X)(3x + -5) + (x + -4) = 0 Reorder the terms: (-4 + X)(-5 + 3x) + (x + -4) = 0 Multiply (-4 + X) * (-5 + 3x) (-4(-5 + 3x) + X(-5 + 3x)) + (x + -4) = 0 ((-5 * -4 + 3x * -4) + X(-5 + 3x)) + (x + -4) = 0 ((20 + -12x) + X(-5 + 3x)) + (x + -4) = 0 (20 + -12x + (-5 * X + 3x * X)) + (x + -4) = 0 (20 + -12x + (-5X + 3xX)) + (x + -4) = 0 Reorder the terms: (20 + -5X + -12x + 3xX) + (x + -4) = 0 (20 + -5X + -12x + 3xX) + (x + -4) = 0 Reorder the terms: 20 + -5X + -12x + 3xX + (-4 + x) = 0 Remove parenthesis around (-4 + x) 20 + -5X + -12x + 3xX + -4 + x = 0 Reorder the terms: 20 + -4 + -5X + -12x + x + 3xX = 0 Combine like terms: 20 + -4 = 16 16 + -5X + -12x + x + 3xX = 0 Combine like terms: -12x + x = -11x 16 + -5X + -11x + 3xX = 0 Solving 16 + -5X + -11x + 3xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -5X + -11x + -16 + 3xX = 0 + -16 Reorder the terms: 16 + -16 + -5X + -11x + 3xX = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -5X + -11x + 3xX = 0 + -16 -5X + -11x + 3xX = 0 + -16 Combine like terms: 0 + -16 = -16 -5X + -11x + 3xX = -16 Add '11x' to each side of the equation. -5X + -11x + 11x + 3xX = -16 + 11x Combine like terms: -11x + 11x = 0 -5X + 0 + 3xX = -16 + 11x -5X + 3xX = -16 + 11x Reorder the terms: 16 + -5X + -11x + 3xX = -16 + 11x + 16 + -11x Reorder the terms: 16 + -5X + -11x + 3xX = -16 + 16 + 11x + -11x Combine like terms: -16 + 16 = 0 16 + -5X + -11x + 3xX = 0 + 11x + -11x 16 + -5X + -11x + 3xX = 11x + -11x Combine like terms: 11x + -11x = 0 16 + -5X + -11x + 3xX = 0 The solution to this equation could not be determined.
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