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Simplifying (3xy + 5y) + -1(4xy + -3y) = 0 Remove parenthesis around (3xy + 5y) 3xy + 5y + -1(4xy + -3y) = 0 3xy + 5y + (4xy * -1 + -3y * -1) = 0 3xy + 5y + (-4xy + 3y) = 0 Reorder the terms: 3xy + -4xy + 5y + 3y = 0 Combine like terms: 3xy + -4xy = -1xy -1xy + 5y + 3y = 0 Combine like terms: 5y + 3y = 8y -1xy + 8y = 0 Solving -1xy + 8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. -1xy + 8y + -8y = 0 + -8y Combine like terms: 8y + -8y = 0 -1xy + 0 = 0 + -8y -1xy = 0 + -8y Remove the zero: -1xy = -8y Divide each side by '-1y'. x = 8 Simplifying x = 8
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