Question

1. 1 = 3x - 9 + 17x

combine like terms to rewrite the equation in two - step form.
1 = \boxed{} - 9

Explanation:

Step1: Combine like terms (3x and 17x)

The equation is \(1 = 3x - 9 + 17x\). Combine the \(x\)-terms: \(3x+17x = 20x\). So the equation becomes \(1 = 20x - 9\).

Step2: Identify the two - step form

The two - step form of a linear equation is generally \(ax + b=c\) (or in this case, \(c=ax + b\) rearranged). After combining like terms, we have \(1=20x - 9\), which is in the form where we can first add 9 to both sides (step 1) and then divide by 20 (step 2) to solve for \(x\). But for the given box (where we need to put the coefficient of \(x\) after combining like terms), we found that \(3x + 17x=20x\), so the coefficient is 20.

Answer:

20