Answer :

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]

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