Final answer:
The algebraic expression 2(x+4)+7x simplifies to 9x+8 by distributing the 2 and then combining like terms.
Step-by-step explanation:
The student posed the problem of simplifying the algebraic expression 2(x+4)+7x.
To solve this, first we apply the distributive property to the first term:
- 2(x) + 2(4) + 7x
- 2x + 8 + 7x
Next, we combine like terms:
Once simplified, the expression 9x + 8 is our final answer. It's important to eliminate terms wherever possible to simplify the algebra, and then check to ensure the solution is reasonable.