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Which equation has infinitely many solutions?

A. -5(x + 2) = -4x-12 - X+2
B. 3x-4+2x= 5(x-4)
C. 5(X+ 7) = -5(x-7)
D. 6x+2 - X=-2x-2 + 7x

1 Answer

5 votes

Final answer:

Option A, -5(x + 2) = -4x-12 - X+2, has infinitely many solutions.

Step-by-step explanation:

The equation that has infinitely many solutions is option A. -5(x + 2) = -4x-12 - X+2.

To determine this, we will check if the equation is true for all values of x. So, let's simplify the equation:

-5(x + 2) = -4x-12 - X+2

-5x - 10 = -4x - 10

Now, we can see that the two sides of the equation are equal for all values of x. Therefore, the equation has infinitely many solutions.

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