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Question
Solve:
`1/10 - 7/x = 35`
Solution
`1/10 - 7/x = 35`
Subtract `1/10` from both sides:
`-7/x = 35-1/10`
Simplify the right-hand side:
`35 = 350/10, "so" 35-1/10 = 350/10 - 1/10 = 349/10`
`-7/x = -349/10`
Multiply through by x to eliminate the denominator: `7 = -349/10x`
Divide by `-349/10`: `x = 7/(-349/10)`
Simplify: `x = (7xx10)/-349 = (-70)/349`
Simplify the fraction:
`x = (-10)/49`
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