Use the Associative Property to simplify the expression 3x+(x+2) to its simplest equivalent form.(1 point)

1 answer

To simplify the expression \(3x + (x + 2)\) using the Associative Property, we can group the terms appropriately.

The Associative Property states that the way we group numbers in addition does not change their sum. Here's how we can apply it:

  1. Group the terms: \[ 3x + (x + 2) = (3x + x) + 2 \]

  2. Combine \(3x\) and \(x\): \[ (3x + x) + 2 = 4x + 2 \]

So, the simplified equivalent form of the expression \(3x + (x + 2)\) is: \[ \boxed{4x + 2} \]