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30x-56=21\left(3x+1\right)
Multiply both sides of the equation by 42, the least common multiple of 7,3,2.
30x-56=63x+21
Use the distributive property to multiply 21 by 3x+1.
30x-56-63x=21
Subtract 63x from both sides.
-33x-56=21
Combine 30x and -63x to get -33x.
-33x=21+56
Add 56 to both sides.
-33x=77
Add 21 and 56 to get 77.
x=\frac{77}{-33}
Divide both sides by -33.
x=-\frac{7}{3}
Reduce the fraction \frac{77}{-33} to lowest terms by extracting and canceling out 11.