Sure, let's work through the equation step by step to find the solution.
We have the equation:
[tex]\[ x + 13 = 34 \][/tex]
To solve for [tex]\( x \)[/tex], we need to isolate [tex]\( x \)[/tex] on one side of the equation. Here are the steps to do that:
1. Subtract 13 from both sides of the equation:
[tex]\[
x + 13 - 13 = 34 - 13
\][/tex]
2. Simplify both sides:
[tex]\[
x = 21
\][/tex]
So, the value of [tex]\( x \)[/tex] that satisfies the equation [tex]\( x + 13 = 34 \)[/tex] is:
[tex]\[
x = 21
\][/tex]
Therefore, the correct answer is:
[tex]\[
\boxed{21}
\][/tex]
