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7-x-\left(7-x-1\right)
To find the opposite of x+1, find the opposite of each term.
7-x-\left(6-x\right)
Subtract 1 from 7 to get 6.
7-x-6-\left(-x\right)
To find the opposite of 6-x, find the opposite of each term.
7-x-6+x
The opposite of -x is x.
1-x+x
Subtract 6 from 7 to get 1.
1
Combine -x and x to get 0.