Question

use the associative property to simplify the expression 3x+(x+2) to its simplest equivlanet form

Answer 1

To simplify the expression \(3x + (x + 2)\) using the associative property, you can group the terms in a way that makes it easier to combine them. The associative property allows you to regroup terms in an expression without changing the result.

Starting with the expression:

\[
3x + (x + 2)
\]

You can first remove the parentheses:

\[
3x + x + 2
\]

Now, combine the like terms \(3x\) and \(x\):

\[
(3x + x) + 2 = 4x + 2
\]

Thus, the simplest equivalent form of the expression \(3x + (x + 2)\) is:

\[
\boxed{4x + 2}
\]