To solve the equation \(-80 = -9x + 1\), let's isolate \(x\). Here's the step-by-step process:

### Step 1: Move the constant term to the left side
Subtract 1 from both sides of the equation:

\[
-80 - 1 = -9x
\]

\[
-81 = -9x
\]

### Step 2: Divide by the coefficient of \(x\)
Divide both sides by \(-9\) to solve for \(x\):

\[
x = \frac{-81}{-9}
\]

\[
x = 9
\]

### Solution
The value of \(x\) is:

\[
\boxed{x = 9}
\]

Would you like any further details on this solution or have any questions?

Here are some related questions you might find interesting:

1. How would the solution change if the equation was \(-80 = -9x - 1\)?
2. What are the steps to isolate a variable when the equation involves fractions?
3. How do you solve an equation with variables on both sides?
4. What happens when you have an inequality instead of an equation?
5. How can you verify the solution to an algebraic equation?

**Tip:** Always check your solution by substituting it back into the original equation to ensure it satisfies the equation.

Learn how to solve the linear equation -80 = -9x + 1 with a detailed step-by-step solution. This problem covers key algebraic concepts such as isolating the variable and solving for x. Suitable for students in Grades 7-8.

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