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Simplifying 3(4x + 2y) + -4(6x + 6y) = 0 (4x * 3 + 2y * 3) + -4(6x + 6y) = 0 (12x + 6y) + -4(6x + 6y) = 0 12x + 6y + (6x * -4 + 6y * -4) = 0 12x + 6y + (-24x + -24y) = 0 Reorder the terms: 12x + -24x + 6y + -24y = 0 Combine like terms: 12x + -24x = -12x -12x + 6y + -24y = 0 Combine like terms: 6y + -24y = -18y -12x + -18y = 0 Solving -12x + -18y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18y' to each side of the equation. -12x + -18y + 18y = 0 + 18y Combine like terms: -18y + 18y = 0 -12x + 0 = 0 + 18y -12x = 0 + 18y Remove the zero: -12x = 18y Divide each side by '-12'. x = -1.5y Simplifying x = -1.5y
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