Step 1 :The question is asking for the value of the expression \(2 x^{2} \div(7-2 x)+2\) when \(x=7\).
Step 2 :To solve this, we need to substitute \(x=7\) into the expression and simplify.
Step 3 :After substituting \(x=7\) into the expression and simplifying, we find that the result is -12.0.
Step 4 :Final Answer: \(\boxed{-12.0}\)