Let's solve the given equation step by step.
We start with the equation:
[tex]\[ x + 13 = 34 \][/tex]
Our goal is to find the value of [tex]\( x \)[/tex]. To do this, we need to isolate [tex]\( x \)[/tex] on one side of the equation. We can achieve this by subtracting 13 from both sides of the equation.
Subtract 13 from both sides:
[tex]\[ x + 13 - 13 = 34 - 13 \][/tex]
This simplifies to:
[tex]\[ x = 21 \][/tex]
So the value of [tex]\( x \)[/tex] that satisfies the equation is [tex]\( 21 \)[/tex], which matches choice D.
Therefore, the correct answer is:
D. [tex]\( x = 21 \)[/tex]
