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Simplifying (X + -5)(3x + 4) = 14 Reorder the terms: (-5 + X)(3x + 4) = 14 Reorder the terms: (-5 + X)(4 + 3x) = 14 Multiply (-5 + X) * (4 + 3x) (-5(4 + 3x) + X(4 + 3x)) = 14 ((4 * -5 + 3x * -5) + X(4 + 3x)) = 14 ((-20 + -15x) + X(4 + 3x)) = 14 (-20 + -15x + (4 * X + 3x * X)) = 14 (-20 + -15x + (4X + 3xX)) = 14 Reorder the terms: (-20 + 4X + -15x + 3xX) = 14 (-20 + 4X + -15x + 3xX) = 14 Solving -20 + 4X + -15x + 3xX = 14 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 + -15x + 20 + 3xX = 14 + 20 Reorder the terms: -20 + 20 + 4X + -15x + 3xX = 14 + 20 Combine like terms: -20 + 20 = 0 0 + 4X + -15x + 3xX = 14 + 20 4X + -15x + 3xX = 14 + 20 Combine like terms: 14 + 20 = 34 4X + -15x + 3xX = 34 Add '15x' to each side of the equation. 4X + -15x + 15x + 3xX = 34 + 15x Combine like terms: -15x + 15x = 0 4X + 0 + 3xX = 34 + 15x 4X + 3xX = 34 + 15x Reorder the terms: -34 + 4X + -15x + 3xX = 34 + 15x + -34 + -15x Reorder the terms: -34 + 4X + -15x + 3xX = 34 + -34 + 15x + -15x Combine like terms: 34 + -34 = 0 -34 + 4X + -15x + 3xX = 0 + 15x + -15x -34 + 4X + -15x + 3xX = 15x + -15x Combine like terms: 15x + -15x = 0 -34 + 4X + -15x + 3xX = 0 The solution to this equation could not be determined.
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