Answer:
4x + 1 is the simplified expression
Explanation:
We have to use order of operations in order to solve. We basically need to simplify it with multiplication and addition.
The first step involves mulitplication and distribution property:
1) Do 1/2(4x + 2). If you use distribution property, it would be 1/2(4x) + 1/2(2)
2) Then use multiplication 1/2(4x) is 2x (since 4 multiplied by 1/2 is 2) and 1/2(2) is 1 (since 1/2 times 2 is 1).
Bow the expression is almost simplified as it is:
2x + 1 -(-2x)
The 2nd stop involves addition. First we have to know what -(-2x) means. Think of the negative sign on the outside as -1. This way it would be:
3) -1(-2x), and then do -1(-2) which is 2 since a negative times a negative is positive.
4) Now we know that -(-2x) is the same as: + 2x.
5) So the expression would be 2x + 1 + 2x. Combine like terms ( 2x and 2x) and you will get 4x + 1.
Hope you understood this and have a nice day!