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