14. the prime factorization of a number is
23 x 5 x7.
a) explain how you can use the prime
factorization to determine whether
35 is a factor of the number.

See below.

Step-by-step explanation:

The number = 5 * 7 * 23.

5  * 7 = 35 must therefore also be a factor.

If we divide the number by 35 we get 23!.

Combine like terms on the right side of the equal sign:

7 - 3x = - 3x + 7

You can rearrange the right side to be:

7 - 3x = 7 - 3x

Because are the same thing, your answer ends up being all real numbers or infinitely many solutions. This means whatever number you plug in for the x-variable, the two sides will always be equal to each other.