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Simplifying 6(x + -1y) + 3(x + y) = 0 (x * 6 + -1y * 6) + 3(x + y) = 0 (6x + -6y) + 3(x + y) = 0 6x + -6y + (x * 3 + y * 3) = 0 6x + -6y + (3x + 3y) = 0 Reorder the terms: 6x + 3x + -6y + 3y = 0 Combine like terms: 6x + 3x = 9x 9x + -6y + 3y = 0 Combine like terms: -6y + 3y = -3y 9x + -3y = 0 Solving 9x + -3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 9x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 9x + 0 = 0 + 3y 9x = 0 + 3y Remove the zero: 9x = 3y Divide each side by '9'. x = 0.3333333333y Simplifying x = 0.3333333333y
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