Which equations have infinitely many solutions? Select TWO that apply.
A. 6(x - 9) = 6x - 54 + x
B. 5(x - 8) + 10 = 5(x + 2)
20 - 8x - 6 = 2(7 - 4x)
D. 4(x + 4) = 2(2x + 5) + 6
E. 2x + 9 = 18 + 2x
The correct answers are:
A. 6(x - 9) = 6x - 54 + x
E. 2x + 9 = 18 + 2x
In both of these equations, the x variable cancels out on both sides of the equation, resulting in a statement that is always true regardless of the value of x. This means that any value of x will satisfy the equation, resulting in infinitely many solutions.