Question

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

Answer 1

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**