# ALGEBRA

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Explain why the equation -6(x + 3) = -6x + 5 has no solution and 7x +18 + 8x = 8(x + 4) + 7x – 14 has infinitely many solutions.

• ALGEBRA -

-6(x+3)=-6x+5
first, distribute the -6, resulting in:
-6x-18=-6x+5
as you can see, these two equations are not the same. if you simplify it further, you get:
-6x=-6x+23

for the second equation, after distributing the 8 and simplifying both sides, you get x=x, so x can be infinitely different numbers

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