Question

Consider the example: Now, Correctly select the order of the steps to solve this equation. 13(6x−9)=−33 (3 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. Step 1: Step 2: Step 3:

Answer 1

To solve the equation \( 13(6x - 9) = -33 \), the steps would be:

Step 1: Distribute \( 13 \) on the left side of the equation.
\[ 13 \times 6x - 13 \times 9 = -33 \]
This becomes:
\[ 78x - 117 = -33 \]

Step 2: Add \( 117 \) to both sides of the equation to isolate the term with \( x \).
\[ 78x - 117 + 117 = -33 + 117 \]
This simplifies to:
\[ 78x = 84 \]

Step 3: Divide both sides by \( 78 \) to solve for \( x \).
\[ x = \frac{84}{78} \]
Simplifying that fraction gives:
\[ x = \frac{14}{13} \]

Putting it all together, the correct order of steps is:

• Step 1: Distribute the \( 13 \).
• Step 2: Add \( 117 \) to both sides.
• Step 3: Divide by \( 78 \).

Let me know if you need any further assistance!