To find the number of video games Trevor purchased, we can set up the equation based on the information provided.
Trevor starts with a $150 gift card and ends up with a $45 balance after buying several video games that cost $35 each.
The amount spent on the games can be expressed as \( 35x \), where \( x \) is the number of games purchased.
The equation representing the balance after Trevor makes his purchases can be written as follows:
\[ 150 - 35x = 45 \]
This equation can be used to find \( x \), the number of games Trevor purchased.