To find \( X \), the number of video games Trevor purchased, we can set up an equation based on the information given.
Trevor starts with a $150 gift card balance and buys video games that each cost $35. After purchasing several games, he has $45 remaining on the gift card.
The total amount Trevor spends on the games can be expressed as \( 35X \). Since he started with $150 and ended up with $45, the equation can be set up as:
\[ 150 - 35X = 45 \]
However, since that specific option is not presented, let's analyze the options closely.
The equation we want to solve would rearrange to show how many games he purchased:
1. Start from the total amount:
\[ 150 - 35X = 45 \]
2. Rearranging the above gives you the option:
\[ 150 - 45 = 35X \]
\[ 105 = 35X \]
The closest option that might match from your responses could be:
**D**, with the notation left unclear. If we were to finalize the equations, none of the options listed in your message are accurately representing the situation.
However, if we had to infer the intention behind the options listed, we should confirm the accurate setup would be \( 150 - 35X = 45 \) but that's not explicit in the current answers.
If option D contained something like \( 150 - 35X = 45 \) or similar, that would be the best choice. If not, none of the options provided could correctly answer the question as posed.