Step 1: Understand the behavior of the \texttt{fork()} system call.
The \texttt{fork()} system call creates a new process (child) from the parent process. The total number of processes created depends on how many times \texttt{fork()} is executed.
Step 2: Analyze the code.
Initially, \( x = 3 \). In the first iteration of the \texttt{while} loop, one new process is created, leading to 2 processes. In the second iteration, each of these 2 processes creates a new process, resulting in \( 2 + 2 = 4 \) processes. In the third iteration, each of the 4 processes creates another process, resulting in \( 4 + 4 = 8 \) processes.
Step 3: Count the total executions of \texttt{printf("hello")}.
Each process executes \texttt{printf("hello")} exactly once for each iteration of the loop. Summing across all iterations:
\[
2 + 4 + 8 = 14.
\]
Final Answer:
\[
\boxed{14}
\]