Question

Simplify.
x + (7 + 14x)
A) 21x
B) 15x + 7
C) 21x + 1
D) 22x

Answer 1

The expression x + (7 + 14x) simplifies to 15x + 7 by combining like terms, which corresponds to option B.

Step-by-step explanation:

To simplify the expression x + (7 + 14x), we first need to eliminate terms wherever possible. We can do this by combining like terms. Like terms are terms that have the same variable raised to the same power. In this case, x and 14x are like terms.

Combining these terms, we get:

x + 14x + 7

Now, add the coefficients (the numbers in front of the x):

1x + 14x = 15x

So, our expression simplifies to:

15x + 7

Therefore, the simplified expression is 15x + 7, which corresponds to option B.