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1000x=2x
Multiply both sides of the equation by 100.
1000x-2x=0
Subtract 2x from both sides.
998x=0
Combine 1000x and -2x to get 998x.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 998 is not equal to 0, x must be equal to 0.