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4 - 5X = 1 + 6X
add 5X to each side
4 = 1 + 11X
subtract 1 from each side
3 = 11X
divide each sides integers by 11
3/11 = X
=========check in original equation
4 - 5(3/11) = 1 + 6(3/11)
4 - 15/11 = 1 + 18/11
( now 4 = 44/11 and 1 = 11/11 )
44/11 - 15/11 = 11/11 + 18/11
29/11 = 29/11
=============checks
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