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3x-5+7x=-5
Add 7x to both sides.
10x-5=-5
Combine 3x and 7x to get 10x.
10x=-5+5
Add 5 to both sides.
10x=0
Add -5 and 5 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 10 is not equal to 0, x must be equal to 0.