Question 16 of 18 Evaluate the algebraic expression for the given value of the variable. \[ x^{2}+7 ; x=5 \] For $x=5, x^{2}+7=\square$. (Type an integer or a simplified fraction.)

Step 1 ：Substitute $x=5$ into the expression $x^{2}+7$

Step 2 ：After substituting, the expression becomes $5^{2}+7$

Step 3 ：Simplify the expression to get $25+7$

Step 4 ：The final result is $32$

Step 5 ：So, for $x=5, x^{2}+7=oxed{32}$