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x+50-10x+27=10x+5-x
Use the distributive property to multiply 10 by 5-x.
-9x+50+27=10x+5-x
Combine x and -10x to get -9x.
-9x+77=10x+5-x
Add 50 and 27 to get 77.
-9x+77=9x+5
Combine 10x and -x to get 9x.
-9x+77-9x=5
Subtract 9x from both sides.
-18x+77=5
Combine -9x and -9x to get -18x.
-18x=5-77
Subtract 77 from both sides.
-18x=-72
Subtract 77 from 5 to get -72.
x=\frac{-72}{-18}
Divide both sides by -18.
x=4
Divide -72 by -18 to get 4.