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Simplifying -2(-5x + 3xy + -5y) + -3(-7x + -4xy + 3y) + 2(10x + -8xy + -2y) = 0 (-5x * -2 + 3xy * -2 + -5y * -2) + -3(-7x + -4xy + 3y) + 2(10x + -8xy + -2y) = 0 (10x + -6xy + 10y) + -3(-7x + -4xy + 3y) + 2(10x + -8xy + -2y) = 0 10x + -6xy + 10y + (-7x * -3 + -4xy * -3 + 3y * -3) + 2(10x + -8xy + -2y) = 0 10x + -6xy + 10y + (21x + 12xy + -9y) + 2(10x + -8xy + -2y) = 0 10x + -6xy + 10y + 21x + 12xy + -9y + (10x * 2 + -8xy * 2 + -2y * 2) = 0 10x + -6xy + 10y + 21x + 12xy + -9y + (20x + -16xy + -4y) = 0 Reorder the terms: 10x + 21x + 20x + -6xy + 12xy + -16xy + 10y + -9y + -4y = 0 Combine like terms: 10x + 21x = 31x 31x + 20x + -6xy + 12xy + -16xy + 10y + -9y + -4y = 0 Combine like terms: 31x + 20x = 51x 51x + -6xy + 12xy + -16xy + 10y + -9y + -4y = 0 Combine like terms: -6xy + 12xy = 6xy 51x + 6xy + -16xy + 10y + -9y + -4y = 0 Combine like terms: 6xy + -16xy = -10xy 51x + -10xy + 10y + -9y + -4y = 0 Combine like terms: 10y + -9y = 1y 51x + -10xy + 1y + -4y = 0 Combine like terms: 1y + -4y = -3y 51x + -10xy + -3y = 0 Solving 51x + -10xy + -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. 51x + -10xy + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 51x + -10xy + 0 = 0 + 3y 51x + -10xy = 0 + 3y Remove the zero: 51x + -10xy = 3y Combine like terms: 3y + -3y = 0 51x + -10xy + -3y = 0 The solution to this equation could not be determined.
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