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Simplifying -3(x + -3y) + -2(5y + -6x) = 0 (x * -3 + -3y * -3) + -2(5y + -6x) = 0 (-3x + 9y) + -2(5y + -6x) = 0 Reorder the terms: -3x + 9y + -2(-6x + 5y) = 0 -3x + 9y + (-6x * -2 + 5y * -2) = 0 -3x + 9y + (12x + -10y) = 0 Reorder the terms: -3x + 12x + 9y + -10y = 0 Combine like terms: -3x + 12x = 9x 9x + 9y + -10y = 0 Combine like terms: 9y + -10y = -1y 9x + -1y = 0 Solving 9x + -1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 9x + -1y + y = 0 + y Combine like terms: -1y + y = 0 9x + 0 = 0 + y 9x = 0 + y Remove the zero: 9x = y Divide each side by '9'. x = 0.1111111111y Simplifying x = 0.1111111111y
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