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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 = 3x 3x + -6y + -3y = 0 Combine like terms: -6y + -3y = -9y 3x + -9y = 0 Solving 3x + -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. 3x + -9y + 9y = 0 + 9y Combine like terms: -9y + 9y = 0 3x + 0 = 0 + 9y 3x = 0 + 9y Remove the zero: 3x = 9y Divide each side by '3'. x = 3y Simplifying x = 3y
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