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5x-17-14+3x-11=38
Combine 11x and -6x to get 5x.
5x-31+3x-11=38
Subtract 14 from -17 to get -31.
8x-31-11=38
Combine 5x and 3x to get 8x.
8x-42=38
Subtract 11 from -31 to get -42.
8x=38+42
Add 42 to both sides.
8x=80
Add 38 and 42 to get 80.
x=\frac{80}{8}
Divide both sides by 8.
x=10
Divide 80 by 8 to get 10.