Let's solve the expression step by step.
Start with the innermost parentheses: \[ 3 * 7 = 21 \] Therefore, the expression inside the parentheses becomes: \[ 76 - 21 = 55 \]
Now replace that in the original expression: \[ 54 - 35 + 2 * 55 \]
Next, calculate \( 2 * 55 \): \[ 2 * 55 = 110 \]
Now replace that in the expression: \[ 54 - 35 + 110 \]
Next, do the subtraction: \[ 54 - 35 = 19 \]
Finally, add: \[ 19 + 110 = 129 \]
So the final result is: \[ \boxed{129} \]