1. The problem asks to find the perimeter of a triangle with sides $2x + 4$, $3x - 2$, and $4x - 1$. 2. The perimeter of a triangle is the sum of the lengths of all its sides. 3. Write the expression for the perimeter: $$\text{Perimeter} = (2x + 4) + (3x - 2) + (4x - 1)$$ 4. Combine like terms: $$= 2x + 3x + 4x + 4 - 2 - 1$$ $$= (2x + 3x + 4x) + (4 - 2 - 1)$$ $$= 9x + 1$$ 5. Therefore, the expression for the perimeter of the triangle is: $$\boxed{9x + 1}$$ This means if you know the value of $x$, you can substitute it into $9x + 1$ to find the total perimeter.