The value of x in the diagram given is 9.
From the diagram given, we can create a proportional expression thus ;
4x + 14 = 20
55 = 22
cross multiply
22(4x + 14) = 55 * 20
88x + 308 = 1100
88x = 1100 - 308
88x = 792
x = 792/88
x = 9
The value of x is 9