Hello from MrBillDoesMath!
Answer:
x = 3
Discussion:
If the triangles are congruent, then the hypotenuse's have the same length. That is,
13 = 4x + 1 => subtract 1 from both sides
13 -1 = 4x => 13 - 1 = 12
12 = 4x => divide both sides by 4
12/4 = 3 = x
Thank you,
MrB