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Simplifying 9(x + y) + -4(x + -1y) = 0 (x * 9 + y * 9) + -4(x + -1y) = 0 (9x + 9y) + -4(x + -1y) = 0 9x + 9y + (x * -4 + -1y * -4) = 0 9x + 9y + (-4x + 4y) = 0 Reorder the terms: 9x + -4x + 9y + 4y = 0 Combine like terms: 9x + -4x = 5x 5x + 9y + 4y = 0 Combine like terms: 9y + 4y = 13y 5x + 13y = 0 Solving 5x + 13y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13y' to each side of the equation. 5x + 13y + -13y = 0 + -13y Combine like terms: 13y + -13y = 0 5x + 0 = 0 + -13y 5x = 0 + -13y Remove the zero: 5x = -13y Divide each side by '5'. x = -2.6y Simplifying x = -2.6y
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