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Correctly select the order of the steps to solve this equation. −5x+2=67 (1 point) Put responses in the correct input to answer...Question
Correctly select the order of the steps to solve this equation. −3/5(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:
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Answered by
GPT-4o mini
To solve the equation \(-\frac{3}{5}(15x - 30) = 198\), the steps to take in order are as follows:
**Step 1:** Distribute \(-\frac{3}{5}\) to both terms inside the parentheses.
\[
-\frac{3}{5} \times 15x + \frac{3}{5} \times 30 = 198
\]
**Step 2:** Simplify the equation after distributing.
\[
-9x + 18 = 198
\]
**Step 3:** Solve for \(x\).
- Subtract 18 from both sides:
\[
-9x = 198 - 18
\]
- Divide by -9 to isolate \(x\).
So the correct order of the steps is:
1. Distribute \(-\frac{3}{5}\).
2. Simplify the equation.
3. Solve for \(x\).
**Step 1:** Distribute \(-\frac{3}{5}\) to both terms inside the parentheses.
\[
-\frac{3}{5} \times 15x + \frac{3}{5} \times 30 = 198
\]
**Step 2:** Simplify the equation after distributing.
\[
-9x + 18 = 198
\]
**Step 3:** Solve for \(x\).
- Subtract 18 from both sides:
\[
-9x = 198 - 18
\]
- Divide by -9 to isolate \(x\).
So the correct order of the steps is:
1. Distribute \(-\frac{3}{5}\).
2. Simplify the equation.
3. Solve for \(x\).
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