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103-\left(x+1\right)+5=5x+7
Add 100 and 3 to get 103.
103-x-1+5=5x+7
To find the opposite of x+1, find the opposite of each term.
102-x+5=5x+7
Subtract 1 from 103 to get 102.
107-x=5x+7
Add 102 and 5 to get 107.
107-x-5x=7
Subtract 5x from both sides.
107-6x=7
Combine -x and -5x to get -6x.
-6x=7-107
Subtract 107 from both sides.
-6x=-100
Subtract 107 from 7 to get -100.
x=\frac{-100}{-6}
Divide both sides by -6.
x=\frac{50}{3}
Reduce the fraction \frac{-100}{-6} to lowest terms by extracting and canceling out -2.