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13 - 3X = 4X + 1
add 3X to each side
13 - 3X + 3X = 4X + 3X + 1
13 = 7X + 1
subtract 1 from each side
13 - 1 = 7X + 1 - 1
12 = 7X
divide both sides integers by 7
12/7 = (7/7)X
12/7 = X
=========check in original equation
13 - 3(12/7) = 4(12/7) + 1
13 - 36/7 = 48/7 + 1
13 and 1 need to be converted to fractions ( 13 * 7 = 91, so/ 91/7 = 13 ; 1 = 7/7 )
91/7 - 36/7 = 48/7 + 7/7
55/7 = 55/7
==============checks
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