To solve the equation (3 + 6 \times (5 + 4) \div 3 - 7), we need to follow a special order called PEMDAS (or BODMAS). This helps us figure out what to do first.

Here’s how to solve it step by step:

1. Parentheses: First, solve what's inside the parentheses.

   • Calculate (5 + 4), which equals (9).

2. Multiplication and Division: Next, do the multiplication and division from left to right.

   • Multiply (6) by (9) to get (54).
   • Now, divide (54) by (3), which equals (18).

3. Addition and Subtraction: Lastly, do the addition and subtraction from left to right.

   • Add (3) and (18) to get (21).
   • Then, subtract (7) from (21), which gives us (14).

So, the final answer is (14).