Using the Distributive Property as a good first step to solving the equation 7(5x+2)=−4(6−5x)
, you could simplify this equation to get which of these choices?(1 point)
Responses
35x+14=−24+20x
35 x plus 14 is equal to negative 24 plus 20 x
5x+14=6+20x
5 x plus 14 is equal to 6 plus 20 x
35x+2=24−20x
35 x plus 2 is equal to 24 minus 20 x
35x+2=−24−5x
35 x plus 2 is equal to negative 24 minus 5 x
35x+14=−24−20x
35 x plus 14 is equal to negative 24 minus 20 x
The correct choice is: 35x+14=−24−20x
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: Response area
Simplify the right side of the equation: Response area
Simplify the left side of the equation: 2(x-5) = 2x - 10
Simplify the right side of the equation: 9 - 3x + 6 + 8 + 3x + 7 = 30
To use the Distributive Property, you need to distribute each term outside the parentheses to each term inside the parentheses.
For the equation 7(5x+2)=−4(6−5x), you would distribute 7 to both 5x and 2, and distribute -4 to both 6 and -5x.
This results in:
35x + 14 = -24 + 20x
So, the equation simplifies to 35x + 14 = -24 + 20x.