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47\left(x-11\right)=3x
Multiply 47 and 1 to get 47.
47x-517=3x
Use the distributive property to multiply 47 by x-11.
47x-517-3x=0
Subtract 3x from both sides.
44x-517=0
Combine 47x and -3x to get 44x.
44x=517
Add 517 to both sides. Anything plus zero gives itself.
x=\frac{517}{44}
Divide both sides by 44.
x=\frac{47}{4}
Reduce the fraction \frac{517}{44} to lowest terms by extracting and canceling out 11.