Answer :

To simplify the expression [tex]\((18.2 + 12.5) - 121.3 + 82.91\)[/tex], follow these steps:

1. Add the numbers inside the parentheses:

[tex]\[
18.2 + 12.5 = 30.7
\][/tex]

2. Subtract 121.3 from the result of the addition:

[tex]\[
30.7 - 121.3 = -90.6
\][/tex]

3. Add 82.91 to the result from step 2:

[tex]\[
-90.6 + 82.91 = -7.69
\][/tex]

The simplified result of the expression [tex]\((18.2 + 12.5) - 121.3 + 82.91\)[/tex] is approximately [tex]\(-7.69\)[/tex].

Since none of the options match exactly, it seems there might be a rounding issue. However, the closest option to [tex]\(-7.69\)[/tex] is not present among the provided choices, hence typically, further verification would be advisable.

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