To simplify the expression \( 12x - 9x + x \):
- Combine like terms: \[ 12x - 9x + x = (12 - 9 + 1)x = 4x \]
Thus, the expression \( 12x - 9x + x \) simplifies to \( 4x \).
Among the given options, the equivalent algebraic expression is: \[ \boxed{4x} \]