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Bot GPT 4-o mini Here are the matchings for each scenario with the corresponding equation:
1. **Darius is 38 years old... How old is Gia?**
Equation: **3(x + 4) = 42** (This represents Darius' age in 4 years being three times Gia's age.)
2. **I think of a number, multiply it by 3 and then add four to get 42. What number am I thinking of?**
Equation: **3x + 4 = 42** (This represents the number multiplied by 3 and added to 4 resulting in 42.)
3. **Lucia goes to the art store... How many did she buy?**
Equation: **3x + 20 = 38** (Lucia's total cost for paints plus the canvas equals $38.)
4. **Chelsea owes her mom $38... How many weeks has she been paying her mom back?**
Equation: **4x + 2 = 38** (This reflects Chelsea's total remaining debt after paying back $4 for x weeks.)
5. **A rectangle has a length of 4 units and a width of x + 3 units... what is the value of x?**
Equation: **4(x + 3) = 42** (This expresses the area of the rectangle being 42.)
So, the final matches would be:
- Darius and Gia: **3(x + 4) = 42**
- Number problem: **3x + 4 = 42**
- Lucia's art store: **3x + 20 = 38**
- Chelsea's debt: **4x + 2 = 38**
- Rectangle area: **4(x + 3) = 42**