To solve the equation 4x + 9 = 45, you can follow these steps:

1. Subtract 9 from both sides of the equation to isolate the term with the variable on one side:

   4x + 9 - 9 = 45 - 9

   This simplifies to:

   4x = 36

2. Now, divide both sides by 4 to solve for x:

   4x/4=36/4

   This simplifies to:

   x = 9

So, the solution to the equation is x = 9.