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Simplifying 6x + 6y + -3(4x + -1y) = 0 6x + 6y + (4x * -3 + -1y * -3) = 0 6x + 6y + (-12x + 3y) = 0 Reorder the terms: 6x + -12x + 6y + 3y = 0 Combine like terms: 6x + -12x = -6x -6x + 6y + 3y = 0 Combine like terms: 6y + 3y = 9y -6x + 9y = 0 Solving -6x + 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. -6x + 9y + -9y = 0 + -9y Combine like terms: 9y + -9y = 0 -6x + 0 = 0 + -9y -6x = 0 + -9y Remove the zero: -6x = -9y Divide each side by '-6'. x = 1.5y Simplifying x = 1.5y
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