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34=7\left(x-9\right)
Variable x cannot be equal to 9 since division by zero is not defined. Multiply both sides of the equation by x-9.
34=7x-63
Use the distributive property to multiply 7 by x-9.
7x-63=34
Swap sides so that all variable terms are on the left hand side.
7x=34+63
Add 63 to both sides.
7x=97
Add 34 and 63 to get 97.
x=\frac{97}{7}
Divide both sides by 7.