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Simplifying -6x + 9y = 12x + -27 Reorder the terms: -6x + 9y = -27 + 12x Solving -6x + 9y = -27 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6x + -12x + 9y = -27 + 12x + -12x Combine like terms: -6x + -12x = -18x -18x + 9y = -27 + 12x + -12x Combine like terms: 12x + -12x = 0 -18x + 9y = -27 + 0 -18x + 9y = -27 Add '-9y' to each side of the equation. -18x + 9y + -9y = -27 + -9y Combine like terms: 9y + -9y = 0 -18x + 0 = -27 + -9y -18x = -27 + -9y Divide each side by '-18'. x = 1.5 + 0.5y Simplifying x = 1.5 + 0.5y
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