For the equation 2(x−5)=9−3x+6+8+3x+7

, the left side of the equation can be simplified by using the Distributive Property, and the right side of the equation can be simplified by combining like terms. (2 points)
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Simplify the right side of the equation:
Simplify the left side of the equation:

Simplify the right side of the equation: 9-3x+6+8+3x+7 = 32

Simplify the left side of the equation: 2(x-5) = 2x-10

To simplify the right side of the equation, we can combine like terms:

9 - 3x + 6 + 8 + 3x + 7

= (9 + 6 + 8 + 7) - 3x + 3x

= 30 -3x + 3x

= 30

Simplifying the right side of the equation gives us 30.

Now let's simplify the left side of the equation using the Distributive Property:

2(x - 5)

= 2 * x - 2 * 5

= 2x - 10

Therefore, the simplified left side of the equation is 2x - 10.