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4x+5x=0\times 9
Multiply both sides of the equation by 20, the least common multiple of 5,4.
9x=0\times 9
Combine 4x and 5x to get 9x.
9x=0
Multiply 0 and 9 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 9 is not equal to 0, x must be equal to 0.