Step 1 :Subtract 4x from both sides of the equation to get \(2x + 9 = 45\).
Step 2 :Subtract 9 from both sides to get \(2x = 36\).
Step 3 :Divide both sides by 2 to solve for x, so the solution is \(x = 18\).
Step 4 :Final Answer: The solution set is \(\boxed{18}\).