The problem asks to simplify the given equation $7x + y + 3 = 9x$ and then graph the simplified equation.

1. Problem Description

The problem asks to simplify the given equation $7x + y + 3 = 9x$ and then graph the simplified equation.

2. Solution Steps

First, we simplify the equation:

$7x + y + 3 = 9x$

Subtract $7x$ from both sides:

$y + 3 = 9x - 7x$

$y + 3 = 2x$

Subtract $3$ from both sides:

$y = 2x - 3$

This is a linear equation in the slope-intercept form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. In this case, $m = 2$ and $b = -3$.

To graph this equation, we can find two points on the line.

Let $x = 0$, then $y = 2(0) - 3 = -3$. So the point $(0, -3)$ is on the line.

Let $x = 1$, then $y = 2(1) - 3 = 2 - 3 = -1$. So the point $(1, -1)$ is on the line.

Plot the points $(0, -3)$ and $(1, -1)$ and draw a line through them.

3. Final Answer

$y = 2x - 3$