To solve the arithmetic expression [tex]\(-21 + 42 + 10 - 14\)[/tex], we will perform the operations step by step.
First, start with the initial number:
[tex]\[
-21
\][/tex]
Next, add 42 to [tex]\(-21\)[/tex]:
[tex]\[
-21 + 42 = 21
\][/tex]
Then, add 10 to the result:
[tex]\[
21 + 10 = 31
\][/tex]
Finally, subtract 14 from the result:
[tex]\[
31 - 14 = 17
\][/tex]
Therefore, the value of the expression [tex]\(-21 + 42 + 10 - 14\)[/tex] is [tex]\(17\)[/tex].
So, the correct answer is:
[tex]\[
\boxed{17}
\][/tex]
