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Simplifying X + xy + xyz + 2xy + 3xy + x + 5z = 0 Reorder the terms: X + x + xy + 2xy + 3xy + xyz + 5z = 0 Combine like terms: xy + 2xy = 3xy X + x + 3xy + 3xy + xyz + 5z = 0 Combine like terms: 3xy + 3xy = 6xy X + x + 6xy + xyz + 5z = 0 Solving X + x + 6xy + xyz + 5z = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1x' to each side of the equation. X + x + 6xy + xyz + -1x + 5z = 0 + -1x Reorder the terms: X + x + -1x + 6xy + xyz + 5z = 0 + -1x Combine like terms: x + -1x = 0 X + 0 + 6xy + xyz + 5z = 0 + -1x X + 6xy + xyz + 5z = 0 + -1x Remove the zero: X + 6xy + xyz + 5z = -1x Add '-6xy' to each side of the equation. X + 6xy + xyz + -6xy + 5z = -1x + -6xy Reorder the terms: X + 6xy + -6xy + xyz + 5z = -1x + -6xy Combine like terms: 6xy + -6xy = 0 X + 0 + xyz + 5z = -1x + -6xy X + xyz + 5z = -1x + -6xy Add '-1xyz' to each side of the equation. X + xyz + -1xyz + 5z = -1x + -6xy + -1xyz Combine like terms: xyz + -1xyz = 0 X + 0 + 5z = -1x + -6xy + -1xyz X + 5z = -1x + -6xy + -1xyz Add '-5z' to each side of the equation. X + 5z + -5z = -1x + -6xy + -1xyz + -5z Combine like terms: 5z + -5z = 0 X + 0 = -1x + -6xy + -1xyz + -5z X = -1x + -6xy + -1xyz + -5z Simplifying X = -1x + -6xy + -1xyz + -5z
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