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Simplifying 9(x + y) + -2(x + y) = 0 (x * 9 + y * 9) + -2(x + y) = 0 (9x + 9y) + -2(x + y) = 0 9x + 9y + (x * -2 + y * -2) = 0 9x + 9y + (-2x + -2y) = 0 Reorder the terms: 9x + -2x + 9y + -2y = 0 Combine like terms: 9x + -2x = 7x 7x + 9y + -2y = 0 Combine like terms: 9y + -2y = 7y 7x + 7y = 0 Solving 7x + 7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 7x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 7x + 0 = 0 + -7y 7x = 0 + -7y Remove the zero: 7x = -7y Divide each side by '7'. x = -1y Simplifying x = -1y
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