Answer: you bought 6 games.
Explanation:
Let x represent the number of video games that you bought.
Each video game costs $10. The cost of x video games would be $10x. There is a 7% tax on each game. It means that the amount of tax on x games would be
7/100 × 10x = $0.7x
It cost $5 to become a member of a video game club. It means that the total amount he paid for x video games is
5 + 10x + 0.7x
= 5 + 10.7x
If you spend $69.20 total, it means that
5 + 10.7x = 69.2
10.7x = 69.2 - 5
10.07x = 64.2
x = 64.2/10.7
x = 6