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(1/4)*x-((1/6)*x) = 100 // - 100
(1/4)*x-((1/6)*x)-100 = 0
(1/4)*x+(-1/6)*x-100 = 0
1/12*x-100 = 0 // + 100
1/12*x = 100 // : 1/12
x = 100/1/12
x = 1200
x = 1200
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