Sure! Let's solve the given expression step-by-step:
[tex]\[
6 \times 5 - \left[10 - \left\{26 + \frac{32}{-4 - (42 - 14)}\right\}\right] - 7
\][/tex]
1. We'll start by calculating the innermost parenthesis:
[tex]\[
42 - 14 = 28
\][/tex]
2. Next, we use this result in the next expression:
[tex]\[
-4 - 28 = -32
\][/tex]
3. Now, we'll handle the division:
[tex]\[
\frac{32}{-32} = -1.0
\][/tex]
4. Add [tex]\(26\)[/tex] to this result:
[tex]\[
26 + (-1.0) = 25.0
\][/tex]
5. Now, subtract this sum from [tex]\(10\)[/tex]:
[tex]\[
10 - 25.0 = -15.0
\][/tex]
6. Next, compute the multiplication:
[tex]\[
6 \times 5 = 30
\][/tex]
7. Finally, incorporate all the results into the expression:
[tex]\[
30 - (-15.0) - 7 = 30 + 15.0 - 7 = 38.0
\][/tex]
Therefore, the final result of the given expression is [tex]\( \boxed{38.0} \)[/tex].
