Questions: Which of the following shows the correct solution steps and solution to 4x + 9 = -23?

Which of the following shows the correct solution steps and solution to 4x + 9 = -23?
Transcript text: Which of the following shows the correct solution steps and solution to $4 x+9=-23 ?$
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Solution

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Solution Steps

To solve the equation \(4x + 9 = -23\), we need to isolate the variable \(x\). First, subtract 9 from both sides of the equation to eliminate the constant term on the left side. Then, divide both sides by 4 to solve for \(x\).

To solve the equation \(4x + 9 = -23\), we will follow a series of steps to isolate the variable \(x\).

Step 1: Subtract 9 from Both Sides

The first step is to eliminate the constant term on the left side of the equation. We do this by subtracting 9 from both sides:

\[ 4x + 9 - 9 = -23 - 9 \]

This simplifies to:

\[ 4x = -32 \]

Step 2: Divide Both Sides by 4

Next, we need to solve for \(x\) by dividing both sides of the equation by 4:

\[ \frac{4x}{4} = \frac{-32}{4} \]

This simplifies to:

\[ x = -8 \]

Final Answer

The solution to the equation \(4x + 9 = -23\) is:

\[ \boxed{x = -8} \]

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