Which expression is equvialent to 2 (x+3) + 4 (x +1)?
A- 3x + 10
B- 6x + 10
C- 2x + 10
D- 6x + 7
To simplify the expression 2(x + 3) + 4(x + 1), we can simplify the parentheses first.
Inside the first set of parentheses, we have x + 3.
Inside the second set of parentheses, we have x + 1.
We distribute the 2 and the 4 to each term inside the parentheses:
2(x + 3) + 4(x + 1) = 2x + 6 + 4x + 4
We combine like terms:
2x + 6 + 4x + 4 = (2x + 4x) + (6 + 4) = 6x + 10
Therefore, the expression 2(x + 3) + 4(x + 1) is equivalent to 6x + 10.
The correct answer is B- 6x + 10.