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Which algebraic expression is equivalent to this expression?

6(2x+6)-13

A.
6x + 8
B.
12x + 23
C.
12x + 49
D.
12x + 24

1 answer

To simplify the expression \( 6(2x + 6) - 13 \), we can follow these steps:

  1. Distribute the 6 through the parentheses: \[ 6(2x) + 6(6) = 12x + 36 \]

  2. Now, subtract 13 from this result: \[ 12x + 36 - 13 = 12x + 23 \]

Thus, the simplified expression is \( 12x + 23 \).

The correct answer is: B. 12x + 23