What is 100 minus x is less than 41

What number should be added to both sides of the equation to complete this square? x^2-10x=7

Josh has a rewards card for a movie theater he receives 15 points for becoming a rewards card holder he earns 3.5 points for each visit to the movie theater he needs at least 55 points to earn a free movie ticket which inequality can josh use to determine x, the minimum number of visits he needs to earn his first free movie ticket.

In a column proof the right column states your reasons