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Simplifying 2x + -5 + -1y = 8x + -4 + 2y Reorder the terms: -5 + 2x + -1y = 8x + -4 + 2y Reorder the terms: -5 + 2x + -1y = -4 + 8x + 2y Solving -5 + 2x + -1y = -4 + 8x + 2y 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. -5 + 2x + -8x + -1y = -4 + 8x + -8x + 2y Combine like terms: 2x + -8x = -6x -5 + -6x + -1y = -4 + 8x + -8x + 2y Combine like terms: 8x + -8x = 0 -5 + -6x + -1y = -4 + 0 + 2y -5 + -6x + -1y = -4 + 2y Add '5' to each side of the equation. -5 + -6x + 5 + -1y = -4 + 5 + 2y Reorder the terms: -5 + 5 + -6x + -1y = -4 + 5 + 2y Combine like terms: -5 + 5 = 0 0 + -6x + -1y = -4 + 5 + 2y -6x + -1y = -4 + 5 + 2y Combine like terms: -4 + 5 = 1 -6x + -1y = 1 + 2y Add 'y' to each side of the equation. -6x + -1y + y = 1 + 2y + y Combine like terms: -1y + y = 0 -6x + 0 = 1 + 2y + y -6x = 1 + 2y + y Combine like terms: 2y + y = 3y -6x = 1 + 3y Divide each side by '-6'. x = -0.1666666667 + -0.5y Simplifying x = -0.1666666667 + -0.5y
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