Solve the equation. \[ 4(4+2 x)=7(x-4) \] Select the correct choice below and fill in any answer boxes in your choice. A. The solution set is \{\} . (Simplify your answer.) B. There is no solution.

Step 1 ：Distribute the 4 on the left side of the equation to get \(16 + 8x\) and distribute the 7 on the right side of the equation to get \(7x - 28\).

Step 2 ：Combine like terms to get the equation \(8x + 16 = 7x - 28\).

Step 3 ：Isolate the variable x by subtracting \(7x\) from both sides of the equation to get \(x + 16 = -28\).

Step 4 ：Subtract 16 from both sides of the equation to get \(x = -44\).

Step 5 ：Final Answer: The solution to the equation is \(\boxed{-44}\).