Step 1 :Let $x_{1}=6, x_{2}=4, x_{3}=4$, and $x_{4}=8$. The question is asking for the sum of the given variables $x_{1}, x_{2}, x_{3},$ and $x_{4}$. This can be done by simply adding the values of the variables together.
Step 2 :So, $\sum x_{i} = x_{1} + x_{2} + x_{3} + x_{4} = 6 + 4 + 4 + 8 = 22$
Step 3 :Final Answer: $\sum x_{i}=\boxed{22}$