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