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Simplifying 2x + 3y + -6(6x + -8y) = 0 2x + 3y + (6x * -6 + -8y * -6) = 0 2x + 3y + (-36x + 48y) = 0 Reorder the terms: 2x + -36x + 3y + 48y = 0 Combine like terms: 2x + -36x = -34x -34x + 3y + 48y = 0 Combine like terms: 3y + 48y = 51y -34x + 51y = 0 Solving -34x + 51y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51y' to each side of the equation. -34x + 51y + -51y = 0 + -51y Combine like terms: 51y + -51y = 0 -34x + 0 = 0 + -51y -34x = 0 + -51y Remove the zero: -34x = -51y Divide each side by '-34'. x = 1.5y Simplifying x = 1.5y
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