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|x-\left(x+1\right)|
Cancel out 2 and 2.
|x-x-1|
To find the opposite of x+1, find the opposite of each term.
|-1|
Combine x and -x to get 0.
1
The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -1 is 1.