Answer:
PEMDAS is a great way to figure this out!
P - Parenthesies
E - Exponents
M - Multiplcation
D - Division
A - Addition
S - Subtraction
Follow this order and you should be good to go! Here's how I would follow this in this equation.
11x-2-3(1-7x)^2+(x+1)
First, parentheses
The 3 directly next to the parenthesies shows that everything inside of the () needs to be multiplied by 3.
-3*1 and -3*-7x (don't forget the negative)
This gives us 11x-2+(-3+21x)^2+(x+1)
Now distribute the exponents to everything inside of the parentheses.
11x-2+-3^2+21x^2+(x+1)
now solve the numbers with exponents without a variable.
3^2 = 3*3 = 9
combine any numbers without a variable outside of parentheses
11x-2+9+21x^2+(x+1)
11x+7+21x^2+(x+1)
From here, what I would do is divide the whole equation by 2
5.5x+3.5+21x+(.5x+.5)
now combine x values outside of parentheses
3.5+26.5x+(.5x+.5)
I believe this would be the simplest form, but please do correct me if I'm wrong or made any errors