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If the ordered pairs (x(1), y(1)) and (x...

If the ordered pairs `(x_(1), y_(1))` and `(x_(2), y_(2))` satisfying the system of equations
`log_(10)y-log_(10)|x|=log_(100)4` and `log_(100)|x+y|=1/2`, find the value of `(x_(1)+x_(2)+y_(1)+y_(2))`

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