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Simplifying (X + -4)(x + -5) + (2x + 3)(x + -1) = x(2x + -25) + -13 Reorder the terms: (-4 + X)(x + -5) + (2x + 3)(x + -1) = x(2x + -25) + -13 Reorder the terms: (-4 + X)(-5 + x) + (2x + 3)(x + -1) = x(2x + -25) + -13 Multiply (-4 + X) * (-5 + x) (-4(-5 + x) + X(-5 + x)) + (2x + 3)(x + -1) = x(2x + -25) + -13 ((-5 * -4 + x * -4) + X(-5 + x)) + (2x + 3)(x + -1) = x(2x + -25) + -13 ((20 + -4x) + X(-5 + x)) + (2x + 3)(x + -1) = x(2x + -25) + -13 (20 + -4x + (-5 * X + x * X)) + (2x + 3)(x + -1) = x(2x + -25) + -13 (20 + -4x + (-5X + xX)) + (2x + 3)(x + -1) = x(2x + -25) + -13 Reorder the terms: (20 + -5X + -4x + xX) + (2x + 3)(x + -1) = x(2x + -25) + -13 (20 + -5X + -4x + xX) + (2x + 3)(x + -1) = x(2x + -25) + -13 Reorder the terms: 20 + -5X + -4x + xX + (3 + 2x)(x + -1) = x(2x + -25) + -13 Reorder the terms: 20 + -5X + -4x + xX + (3 + 2x)(-1 + x) = x(2x + -25) + -13 Multiply (3 + 2x) * (-1 + x) 20 + -5X + -4x + xX + (3(-1 + x) + 2x * (-1 + x)) = x(2x + -25) + -13 20 + -5X + -4x + xX + ((-1 * 3 + x * 3) + 2x * (-1 + x)) = x(2x + -25) + -13 20 + -5X + -4x + xX + ((-3 + 3x) + 2x * (-1 + x)) = x(2x + -25) + -13 20 + -5X + -4x + xX + (-3 + 3x + (-1 * 2x + x * 2x)) = x(2x + -25) + -13 20 + -5X + -4x + xX + (-3 + 3x + (-2x + 2x2)) = x(2x + -25) + -13 Combine like terms: 3x + -2x = 1x 20 + -5X + -4x + xX + (-3 + 1x + 2x2) = x(2x + -25) + -13 Reorder the terms: 20 + -3 + -5X + -4x + 1x + xX + 2x2 = x(2x + -25) + -13 Combine like terms: 20 + -3 = 17 17 + -5X + -4x + 1x + xX + 2x2 = x(2x + -25) + -13 Combine like terms: -4x + 1x = -3x 17 + -5X + -3x + xX + 2x2 = x(2x + -25) + -13 Reorder the terms: 17 + -5X + -3x + xX + 2x2 = x(-25 + 2x) + -13 17 + -5X + -3x + xX + 2x2 = (-25 * x + 2x * x) + -13 17 + -5X + -3x + xX + 2x2 = (-25x + 2x2) + -13 Reorder the terms: 17 + -5X + -3x + xX + 2x2 = -13 + -25x + 2x2 Add '-2x2' to each side of the equation. 17 + -5X + -3x + xX + 2x2 + -2x2 = -13 + -25x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 17 + -5X + -3x + xX + 0 = -13 + -25x + 2x2 + -2x2 17 + -5X + -3x + xX = -13 + -25x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 17 + -5X + -3x + xX = -13 + -25x + 0 17 + -5X + -3x + xX = -13 + -25x Solving 17 + -5X + -3x + xX = -13 + -25x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -5X + -3x + -17 + xX = -13 + -17 + -25x Reorder the terms: 17 + -17 + -5X + -3x + xX = -13 + -17 + -25x Combine like terms: 17 + -17 = 0 0 + -5X + -3x + xX = -13 + -17 + -25x -5X + -3x + xX = -13 + -17 + -25x Combine like terms: -13 + -17 = -30 -5X + -3x + xX = -30 + -25x Add '3x' to each side of the equation. -5X + -3x + 3x + xX = -30 + -25x + 3x Combine like terms: -3x + 3x = 0 -5X + 0 + xX = -30 + -25x + 3x -5X + xX = -30 + -25x + 3x Combine like terms: -25x + 3x = -22x -5X + xX = -30 + -22x Reorder the terms: 30 + -5X + 22x + xX = -30 + -22x + 30 + 22x Reorder the terms: 30 + -5X + 22x + xX = -30 + 30 + -22x + 22x Combine like terms: -30 + 30 = 0 30 + -5X + 22x + xX = 0 + -22x + 22x 30 + -5X + 22x + xX = -22x + 22x Combine like terms: -22x + 22x = 0 30 + -5X + 22x + xX = 0 The solution to this equation could not be determined.
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