Solve for x
x=2
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3x-17=11\left(3x-7\right)
Variable x cannot be equal to \frac{7}{3} since division by zero is not defined. Multiply both sides of the equation by 3x-7.
3x-17=33x-77
Use the distributive property to multiply 11 by 3x-7.
3x-17-33x=-77
Subtract 33x from both sides.
-30x-17=-77
Combine 3x and -33x to get -30x.
-30x=-77+17
Add 17 to both sides.
-30x=-60
Add -77 and 17 to get -60.
x=\frac{-60}{-30}
Divide both sides by -30.
x=2
Divide -60 by -30 to get 2.
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