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x-49=21-7x
Multiply both sides of the equation by 7.
x-49+7x=21
Add 7x to both sides.
8x-49=21
Combine x and 7x to get 8x.
8x=21+49
Add 49 to both sides.
8x=70
Add 21 and 49 to get 70.
x=\frac{70}{8}
Divide both sides by 8.
x=\frac{35}{4}
Reduce the fraction \frac{70}{8} to lowest terms by extracting and canceling out 2.