The sum of all value of x in [0, 2π], for which $\text{sin}\left(x\right)+\text{sin}\left(2x\right)+\text{sin}\left(3x\right)+\text{sin}\left(4x\right)=0$ is equal to:

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The sum of all value of x in [0, 2π], for which \(\text{sin}\left(x\right)+\text{sin}\left(2x\right)+\text{sin}\left(3x\…

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