Select all the expressions equivalent to \( 2(x+ \) 1. \( 2 \cdot(x+3) \) 2. \( (x+3) 2 \) 3. \( 2 \cdot x+2 \cdot 3 \) 4. \( 2 \cdot x+3 \) 5. \( (2 \cdot x)+3 \) 6. \( (2+x) 3 \)

We begin with the expression 2(x+3). To see which ones are equivalent, we can simplify 2(x+3) by distributing the 2:   2(x+3) = 2·x + 2·3 = 2x + 6 Now check each option: 1. 2 · (x+3): This is the same as the given expression. 2. (x+3) 2: Since multiplication is commutative, this is also 2·(x+3). 3. 2 · x+2 · 3: This simplifies to 2x+6. 4. 2 · x+3: This simplifies to 2x+3, which is not equal to 2x+6. 5. (2 · x)+3: This is also 2x+3, so it does not match. 6. (2+x) 3: This means 3·(2+x) = 3x+6, which is not equal to 2x+6. Thus, the expressions equivalent to 2(x+3) are options 1, 2, and 3.