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Simplifying 9(x + y) + -3(2x + -5y) = 0 (x * 9 + y * 9) + -3(2x + -5y) = 0 (9x + 9y) + -3(2x + -5y) = 0 9x + 9y + (2x * -3 + -5y * -3) = 0 9x + 9y + (-6x + 15y) = 0 Reorder the terms: 9x + -6x + 9y + 15y = 0 Combine like terms: 9x + -6x = 3x 3x + 9y + 15y = 0 Combine like terms: 9y + 15y = 24y 3x + 24y = 0 Solving 3x + 24y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24y' to each side of the equation. 3x + 24y + -24y = 0 + -24y Combine like terms: 24y + -24y = 0 3x + 0 = 0 + -24y 3x = 0 + -24y Remove the zero: 3x = -24y Divide each side by '3'. x = -8y Simplifying x = -8y
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