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\frac{x}{1022}+\frac{x}{1022\times 2}+\frac{x}{1022\times 3}+\frac{x}{1022\times 4}+\frac{x}{1022\times 5}=60000
Multiply 1022 and 1 to get 1022.
\frac{x}{1022}+\frac{x}{2044}+\frac{x}{1022\times 3}+\frac{x}{1022\times 4}+\frac{x}{1022\times 5}=60000
Multiply 1022 and 2 to get 2044.
\frac{3}{2044}x+\frac{x}{1022\times 3}+\frac{x}{1022\times 4}+\frac{x}{1022\times 5}=60000
Combine \frac{x}{1022} and \frac{x}{2044} to get \frac{3}{2044}x.
\frac{3}{2044}x+\frac{x}{3066}+\frac{x}{1022\times 4}+\frac{x}{1022\times 5}=60000
Multiply 1022 and 3 to get 3066.
\frac{11}{6132}x+\frac{x}{1022\times 4}+\frac{x}{1022\times 5}=60000
Combine \frac{3}{2044}x and \frac{x}{3066} to get \frac{11}{6132}x.
\frac{11}{6132}x+\frac{x}{4088}+\frac{x}{1022\times 5}=60000
Multiply 1022 and 4 to get 4088.
\frac{25}{12264}x+\frac{x}{1022\times 5}=60000
Combine \frac{11}{6132}x and \frac{x}{4088} to get \frac{25}{12264}x.
\frac{25}{12264}x+\frac{x}{5110}=60000
Multiply 1022 and 5 to get 5110.
\frac{137}{61320}x=60000
Combine \frac{25}{12264}x and \frac{x}{5110} to get \frac{137}{61320}x.
x=60000\times \frac{61320}{137}
Multiply both sides by \frac{61320}{137}, the reciprocal of \frac{137}{61320}.
x=\frac{60000\times 61320}{137}
Express 60000\times \frac{61320}{137} as a single fraction.
x=\frac{3679200000}{137}
Multiply 60000 and 61320 to get 3679200000.