9. For the equation 2(x−5)=9−3x+6+8+3x+7 , the left side of the equation can be simplified using the Distributive Property, and the right side of the equation can be simplified by combining like terms. (2 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. Simplify the left side of the equation: Simplify the right side of the equation: Response area

Answer 1

To simplify the given equation \(2(x−5)=9−3x+6+8+3x+7\), we will start with both sides:

Simplifying the Left Side:

Using the Distributive Property on the left side:

\[ 2(x - 5) = 2x - 10 \]

Simplifying the Right Side:

Next, we'll simplify the right side by combining like terms:

\[ 9 - 3x + 6 + 8 + 3x + 7 \]

First, combine the constant terms \(9 + 6 + 8 + 7\):

\[ 9 + 6 = 15 \ 15 + 8 = 23 \ 23 + 7 = 30 \]

Then, combine the \(x\) terms \(-3x + 3x\):

\[ -3x + 3x = 0 \]

Putting it all together, the right side simplifies to:

\[ 0x + 30 = 30 \]

Summary of Simplifications:

• Left Side Simplified: \(2x - 10\)
• Right Side Simplified: \(30\)

So, the responses are:

• Simplified Left Side: \(2x - 10\)
• Simplified Right Side: \(30\)