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7x+12=-24x+12
Use the distributive property to multiply -6 by 4x-2.
7x+12+24x=12
Add 24x to both sides.
31x+12=12
Combine 7x and 24x to get 31x.
31x=12-12
Subtract 12 from both sides.
31x=0
Subtract 12 from 12 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 31 is not equal to 0, x must be equal to 0.