19 of 2719 of 27 Items Question 1 Correctly select the order of the steps to solve this equation. 13(6x−9)=−33 (1 point) 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: Question 2 Solve for x. 13(6x−9)=−33 (1 point) Responses x = -30 x = -30 x = -15 x = -15 x = -22 x = -22 x = -19 x = -19 Skip to navigation

Answer 1

To solve the equation \( 13(6x-9) = -33 \), we can follow these steps:

Step 1: Distribute the 13 on the left side.

Step 2: Combine like terms, if necessary, and isolate the term with \( x \).

Step 3: Solve for \( x \).

Applying these steps to your equation:

1. Step 1: Distribute 13. \[ 13 \cdot 6x - 13 \cdot 9 = -33 \] This simplifies to: \[ 78x - 117 = -33 \]

2. Step 2: Add 117 to both sides. \[ 78x = -33 + 117 \] This simplifies to: \[ 78x = 84 \]

3. Step 3: Divide both sides by 78. \[ x = \frac{84}{78} = \frac{14}{13} \]

Now we can check the potential answers given for \( x \):

• \( x = -30 \)
• \( x = -15 \)
• \( x = -22 \)
• \( x = -19 \)

None of these options matches \( \frac{14}{13} \), which is approximately 1.08. There may be an error in the answer choices provided or in the equation. Please double-check the question or the available answer options.

If you need help with something else or further clarification, let me know!

Answer 2

This is wrong

Answer 3

I apologize for the confusion in my previous response. Let's carefully solve the equation step-by-step:

Given equation:

\[ 13(6x - 9) = -33 \]

Step 1: Distribute the 13:

\[ 13 \cdot 6x - 13 \cdot 9 = -33 \] This results in: \[ 78x - 117 = -33 \]

Step 2: Add 117 to both sides:

\[ 78x - 117 + 117 = -33 + 117 \] This simplifies to: \[ 78x = 84 \]

Step 3: Divide both sides by 78:

\[ x = \frac{84}{78} \] This simplifies to: \[ x = \frac{14}{13} \quad \text{(which is approximately 1.08)} \]

Next, let's see if I misinterpreted the question or the answer options provided for Question 2:

If you have these options:

• \( x = -30 \)
• \( x = -15 \)
• \( x = -22 \)
• \( x = -19 \)

None of these options match \( \frac{14}{13} \).

If there were any other steps or details you wanted to clarify regarding the problem, please let me know, and I'll assist you accordingly! Thank you for your understanding.