Question 9 (2 points)
For the equation: 2(x - 7) = 3 - 7x + 5 + 8 + 7x + 11 , the right side of the equation can be simplified by combining like terms.
Simplify the right side of the equation:
The left side of the equation can be simplified using the Distributive Property.
Simplify the left side of the equation:
Word Bank:
36x2x-527x6x+302x-14272x+1430
Blank 1:
Blank 2:
Simplify the right side of the equation: 22x + 27
Simplify the left side of the equation: 2x - 14
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)
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Simplify the left side of the equation: Response area
Simplify the right side of the equation: Response area
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The given equation is 2(x - 7) = 3 - 7x + 5 + 8 + 7x + 11.
To simplify the right side of the equation, we can combine like terms:
3 - 7x + 5 + 8 + 7x + 11
Combining the like terms, we get:
(3 + 5 + 8 + 11) + (-7x + 7x)
Which simplifies to:
(27) + (0)
Therefore, the right side of the equation simplifies to 27.
Now, let's simplify the left side of the equation using the Distributive Property:
2(x - 7)
Using the Distributive Property, we distribute the 2 to both terms inside the parentheses:
2 * x - 2 * 7
Which simplifies to:
2x - 14
Hence, the simplified left side of the equation is 2x - 14.
The simplified equation is then:
2x - 14 = 27
To simplify the right side of the equation, we need to combine like terms.
Let's break down the equation step by step:
First, simplify on the right side:
3 - 7x + 5 + 8 + 7x + 11
Combine the like terms:
(3 + 5 + 8 + 11) + (-7x + 7x)
The numbers sum up to 27:
27 + (-7x + 7x)
The terms with x cancel each other out, leaving us with:
27 + 0
So the simplified right side of the equation is:
27
Now let's simplify the left side of the equation using the Distributive Property:
2(x - 7) = 3 - 7x + 5 + 8 + 7x + 11
Apply the Distributive Property by multiplying 2 with each term inside the parentheses:
2x - 14 = 3 - 7x + 5 + 8 + 7x + 11
Now combine like terms on the left side:
2x - 14 = 27
So the simplified left side of the equation is:
2x - 14
Now, we can rewrite the entire equation with the simplified left and right sides:
2x - 14 = 27
Blank 1: 27
Blank 2: 2x - 14