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Simplifying 8y + -1x = 9(2y + 12 + -3x) + -9x Reorder the terms: -1x + 8y = 9(2y + 12 + -3x) + -9x Reorder the terms: -1x + 8y = 9(12 + -3x + 2y) + -9x -1x + 8y = (12 * 9 + -3x * 9 + 2y * 9) + -9x -1x + 8y = (108 + -27x + 18y) + -9x Reorder the terms: -1x + 8y = 108 + -27x + -9x + 18y Combine like terms: -27x + -9x = -36x -1x + 8y = 108 + -36x + 18y Solving -1x + 8y = 108 + -36x + 18y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. -1x + 36x + 8y = 108 + -36x + 36x + 18y Combine like terms: -1x + 36x = 35x 35x + 8y = 108 + -36x + 36x + 18y Combine like terms: -36x + 36x = 0 35x + 8y = 108 + 0 + 18y 35x + 8y = 108 + 18y Add '-8y' to each side of the equation. 35x + 8y + -8y = 108 + 18y + -8y Combine like terms: 8y + -8y = 0 35x + 0 = 108 + 18y + -8y 35x = 108 + 18y + -8y Combine like terms: 18y + -8y = 10y 35x = 108 + 10y Divide each side by '35'. x = 3.085714286 + 0.2857142857y Simplifying x = 3.085714286 + 0.2857142857y
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