Final answer:
The expression for the total number of cans Keith buys is 3x + 4.
Step-by-step explanation:
To write an expression in terms of x for the total number of cans Keith buys, we need to consider the number of cans of each type (cola, lemonade, and orange) that he buys. Given that he buys x cans of cola, 2 fewer cans of lemonade than cola, and 6 more cans of orange than cola, the expression for the total number of cans he buys is:
x + (x - 2) + (x + 6)
Simplifying this expression:
3x + 4