12-5x+7x

and the question is....

To simplify the expression 12 - 5x + 7x, we can combine like terms. Like terms have the same variable raised to the same exponent.

We have -5x and 7x as the two terms with x. To add or subtract these terms, we need to have the same coefficient for x.

The coefficient of x in -5x is -5, and the coefficient of x in 7x is 7. Since these coefficients have different signs, we can subtract their absolute values to find the coefficient of the simplified term.

|-5| = 5 and |7| = 7.

Now we can subtract 5 from 7: 7 - 5 = 2.

Therefore, the simplified expression is 12 + 2x.

To summarize:
12 - 5x + 7x = 12 + 2x