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Simplifying 3x + 4y + -2 = -8x + -1y Reorder the terms: -2 + 3x + 4y = -8x + -1y Solving -2 + 3x + 4y = -8x + -1y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -2 + 3x + 8x + 4y = -8x + 8x + -1y Combine like terms: 3x + 8x = 11x -2 + 11x + 4y = -8x + 8x + -1y Combine like terms: -8x + 8x = 0 -2 + 11x + 4y = 0 + -1y -2 + 11x + 4y = -1y Add '2' to each side of the equation. -2 + 11x + 2 + 4y = 2 + -1y Reorder the terms: -2 + 2 + 11x + 4y = 2 + -1y Combine like terms: -2 + 2 = 0 0 + 11x + 4y = 2 + -1y 11x + 4y = 2 + -1y Add '-4y' to each side of the equation. 11x + 4y + -4y = 2 + -1y + -4y Combine like terms: 4y + -4y = 0 11x + 0 = 2 + -1y + -4y 11x = 2 + -1y + -4y Combine like terms: -1y + -4y = -5y 11x = 2 + -5y Divide each side by '11'. x = 0.1818181818 + -0.4545454545y Simplifying x = 0.1818181818 + -0.4545454545y
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