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Last year Luis invested X dollars for one year, half at 8 percent simple annual interest and the other half at 12 percent simple annual interest. Now he wants to invest another X dollars for one year in the same two types of investments, but the lower rate has decreased by 2 percent. If the higher rate is unchanged, what fraction of X dollars must be reinvested at the higher rate so that the total interest earned from the X dollars will be the same for both years?
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