7x/7x-21

7x/7x-21=x/x-3

To simplify the expression 7x/(7x-21), we can factor out 7 from both the numerator and denominator.

Step 1: Factor out 7 from the numerator: 7x = 7 * x = 7x
Step 2: Factor out 7 from the denominator: 7x - 21 = 7 * x - 7 * 3 = 7(x - 3)

Now, we have the simplified expression: 7x/(7x-21) = 7x/7(x-3)

Step 3: Divide both numerator and denominator by 7. This will cancel out the 7's in the expression.
7x/7(x-3) = x/(x-3)

The simplified expression is x/(x-3).