Final answer:
To combine like terms in the algebraic expression 3xy + 2x + x + 2x, add the coefficients of terms with the same variables. This gives 3xy + 5x as the simplified expression.
Step-by-step explanation:
The question involves combining like terms in an algebraic expression. To combine like terms, you sum the coefficients of terms that have the same variables raised to the same power. In the expression 3xy + 2x + x + 2x, the terms 2x, x, and 2x are like terms since they all contain the variable x raised to the first power.
The expression can be simplified as follows:
- Combine the x terms: 2x + x + 2x = 5x.
- Since 3xy does not share the same variables with the x terms, it remains unchanged: 3xy.
Therefore, the simplified expression is 3xy + 5x.