The given expression is:

$6 \times \left[ 2 + \left( 10 + 11 \right) \div 7 \right]$

Let’s evaluate this step-by-step following order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction):

Step 1: Simplify inside the innermost parentheses

$10 + 11 = 21$

Now the expression becomes: $6 \times \left[ 2 + 21 \div 7 \right]$

Step 2: Division inside the brackets

$21 \div 7 = 3$

Now the expression becomes: $6 \times \left[ 2 + 3 \right]$

Step 3: Addition inside the brackets

[ 2 + 3 = 5