What is the value of x? Show your work.
(Please hurry and see image for details.)

Answer:
7
Step-by-step explanation:
By the AA Postulate, triangles JKL and MNP are similar. Segment JK corresponds to segment MN, and segment JL corresponds to segment MP.
JK/MN = JL/MP
25/30 = 20/(4x-4)
25(4x-4) = 20*30
100x - 100 = 600
100x = 700
x = 7