#### Answer

X = -5

#### Work Step by Step

Let X represent the number we need to find.
Nine times a certain number means 9X.
Nine times a certain number is subtracted from 7 means 7 - 9X.
Thus, we obtain:
7 - 9X = 52
Subtract 7 from both sides
-9X = 45
Divide both sides by -9
X = -5