Sure, let's solve the given expression step-by-step:
The given expression is:
[tex]\[ 37 - 2 \left| 3 - 5^2 \right| \][/tex]
1. Evaluate the power term within the absolute value:
[tex]\[ 5^2 = 25 \][/tex]
2. Perform the subtraction inside the absolute value:
[tex]\[ 3 - 25 = -22 \][/tex]
3. Apply the absolute value:
[tex]\[ \left| -22 \right| = 22 \][/tex]
4. Multiply the absolute value by 2:
[tex]\[ 2 \times 22 = 44 \][/tex]
5. Subtract this result from 37:
[tex]\[ 37 - 44 = -7 \][/tex]
Thus, the final result is:
[tex]\[ 37 - 2 \left| 3 - 5^2 \right| = -7 \][/tex]
