Use the Associative Property to simplify the expression 3x+(x+2)

Question

3
𝑥
+
(
𝑥
+
2
)
to its simplest equivalent form.

Answer 1

To simplify the expression \( 3x + (x + 2) \) using the Associative Property, we start by recognizing that the Associative Property allows us to group numbers in different ways when adding.

1. Rewrite the expression: \[ 3x + (x + 2) \]

2. Apply the Associative Property: You can group \( 3x \) and \( x \) together. This gives us: \[ (3x + x) + 2 \]

3. Combine like terms: Now, combine \( 3x \) and \( x \): \[ 3x + x = 4x \] So, the expression becomes: \[ 4x + 2 \]

4. Final Expression: The simplest equivalent form of the expression \( 3x + (x + 2) \) is: \[ 4x + 2 \]

This is the simplified equivalent expression.