Answer :

Certainly! Let's go through the problem step-by-step to find the value of the expression [tex]\( 26 \times [(-13) + 1] \)[/tex].

### Step 1: Solve Inside the Parentheses
First, we need to evaluate the addition inside the brackets [tex]\[(-13) + 1\][/tex].

[tex]\[ -13 + 1 = -12 \][/tex]

### Step 2: Multiply by 26
Next, we take the result from the parentheses and multiply it by 26.

[tex]\[ 26 \times (-12) = -312 \][/tex]

### Conclusion
So, the final value of the expression [tex]\( 26 \times [(-13) + 1] \)[/tex] is [tex]\(-312\)[/tex].

The inner sum is [tex]\(-12\)[/tex] and the result after multiplication is [tex]\(-312\)[/tex].