Hi Samantha,
I appreciate your point about combining like terms—it's definitely a fundamental concept in math!
In the expression you provided, \(3x + 3x - 2x + 22 + 6xy\), I see that we can simplify the terms involving \(x\). When I combine \(3x + 3x - 2x\), I end up with \(4x\). The other term, \(6xy\), stays the same, and the constant \(22\) remains unchanged as well.
So putting it all together, I find that we simplify the expression to \(6xy + 4x + 22\).
If we then look at the factored form \(2(3xy + 2x + 11)\), it’s an interesting way to express it. Overall, I really like how combining like terms keeps our expressions tidy!
Let me know your thoughts!
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