Which of the following is equivalent to the expression 2(x + 3)?

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To determine the equivalent expression for (2(x + 3)), we need to apply the distributive property, which states that when you have a number or variable outside of a set of parentheses multiplied by an expression inside, you multiply that number by each term inside the parentheses.

In this case, we have (2) multiplied by ((x + 3)). By using the distributive property:

  1. Multiply (2) by (x): this gives us (2x).

  2. Then, multiply (2) by (3): this results in (6).

Now, combine these results together:

[ 2(x + 3) = 2x + 6 ]

Thus, (2(x + 3)) simplifies to (2x + 6), confirming that the correct choice is indeed the expression that represents this simplified form.

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