Solve equation (A) and plug the result into expression (B). 100x+99x+98x+⋯+2x+x=10100(A)100−x(B)\begin{array}{lc} 100x+99x+98x+\dots+2x+x=10100&\quad\small{(A)}\\ 100-x&\quad\small{(B)} \end{array}

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