Which algebraic expression is equivalent to the expression below? 6(9x+13)+4x A. 58x + 78 B. 136x C. 58x - 78

1 answer

Let's simplify the expression \(6(9x + 13) + 4x\) step by step.

  1. Distribute the \(6\) in the first term: \[ 6(9x) + 6(13) = 54x + 78 \]

  2. Now, add the \(4x\) to it: \[ 54x + 78 + 4x = (54x + 4x) + 78 = 58x + 78 \]

So, the simplified expression is: \[ 58x + 78 \]

Now let's compare it with the options given: A. \(58x + 78\)
B. \(136x\)
C. \(58x - 78\)

The correct answer is: A. 58x + 78