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10x+5-50-x=27
To find the opposite of 50+x, find the opposite of each term.
10x-45-x=27
Subtract 50 from 5 to get -45.
9x-45=27
Combine 10x and -x to get 9x.
9x=27+45
Add 45 to both sides.
9x=72
Add 27 and 45 to get 72.
x=\frac{72}{9}
Divide both sides by 9.
x=8
Divide 72 by 9 to get 8.