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Simplifying (3x + 4xy + 7y) + (2x + -6y) + -1(5x + 3xy + -2y) = 0 Remove parenthesis around (3x + 4xy + 7y) 3x + 4xy + 7y + (2x + -6y) + -1(5x + 3xy + -2y) = 0 Remove parenthesis around (2x + -6y) 3x + 4xy + 7y + 2x + -6y + -1(5x + 3xy + -2y) = 0 3x + 4xy + 7y + 2x + -6y + (5x * -1 + 3xy * -1 + -2y * -1) = 0 3x + 4xy + 7y + 2x + -6y + (-5x + -3xy + 2y) = 0 Reorder the terms: 3x + 2x + -5x + 4xy + -3xy + 7y + -6y + 2y = 0 Combine like terms: 3x + 2x = 5x 5x + -5x + 4xy + -3xy + 7y + -6y + 2y = 0 Combine like terms: 5x + -5x = 0 0 + 4xy + -3xy + 7y + -6y + 2y = 0 4xy + -3xy + 7y + -6y + 2y = 0 Combine like terms: 4xy + -3xy = 1xy 1xy + 7y + -6y + 2y = 0 Combine like terms: 7y + -6y = 1y 1xy + 1y + 2y = 0 Combine like terms: 1y + 2y = 3y 1xy + 3y = 0 Solving 1xy + 3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 1xy + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 1xy + 0 = 0 + -3y 1xy = 0 + -3y Remove the zero: 1xy = -3y Divide each side by '1y'. x = -3 Simplifying x = -3
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