In the right angled triangle, the marked angle is 45°, the lengths of the two right angled edges are 4*sqrt{3} and y respectively, and the diagonal side has a length of x. Consider the adjacent figure:


Solve for the exact value of x.
Please directly answer the question and provide the final value, e.g., 1, 2.5, 300.
Question: In the right angled triangle, the marked angle is 45°, the lengths of the two right angled edges are 4*sqrt{3} and y respectively, and the diagonal side has a length of x. Consider the adjacent figure:


Solve for the exact value of x.
Please first conduct reasoning, and then answer the question and provide the final value, e.g., 1, 2.5, 300, at the end.
Question: In the right angled triangle, the marked angle is 45°, the lengths of the two right angled edges are 4*sqrt{3} and y respectively, and the diagonal side has a length of x. Consider the adjacent figure:


Solve for the exact value of x.