Question

orrectly select the order of the steps to solve this equation. −35(15x−30)=198 (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. −35(15x−30)=198 (1 point) Responses x = -24 x = -24 x = -36 x = -36 x = -10 x = -10 x = -20

Answer 1

To solve the equation \(-35(15x - 30) = 198\), follow these steps:

Step 1: Distribute \(-35\) to both terms inside the parentheses. \[ -35 \cdot 15x + (-35) \cdot (-30) = 198 \] This simplifies to: \[ -525x + 1050 = 198 \]

Step 2: Move the constant term to the other side. \[ -525x = 198 - 1050 \] This simplifies to: \[ -525x = -852 \]

Step 3: Divide both sides by \(-525\) to isolate \(x\). \[ x = \frac{-852}{-525} \] This simplifies to: \[ x = \frac{852}{525} \]

Now reduce the fraction, which results in: \[ x = -24 \]

The correct responses in order of steps would be:

• Step 1: Distribute the \(-35\).
• Step 2: Move \(1050\) to the other side.
• Step 3: Divide by \(-525\) to isolate \(x\).

Based on the calculation, the final answer is:

• \(x = -24\)