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Simplifying 6(x + -1y) + -3(3x + y) = 0 (x * 6 + -1y * 6) + -3(3x + y) = 0 (6x + -6y) + -3(3x + y) = 0 6x + -6y + (3x * -3 + y * -3) = 0 6x + -6y + (-9x + -3y) = 0 Reorder the terms: 6x + -9x + -6y + -3y = 0 Combine like terms: 6x + -9x = -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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