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-7x-27=8-x-\left(-19\right)
To find the opposite of x-19, find the opposite of each term.
-7x-27=8-x+19
The opposite of -19 is 19.
-7x-27=27-x
Add 8 and 19 to get 27.
-7x-27+x=27
Add x to both sides.
-6x-27=27
Combine -7x and x to get -6x.
-6x=27+27
Add 27 to both sides.
-6x=54
Add 27 and 27 to get 54.
x=\frac{54}{-6}
Divide both sides by -6.
x=-9
Divide 54 by -6 to get -9.