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Simplifying 2x + y + z = 8x + z + -1y Reorder the terms: 2x + y + z = 8x + -1y + z Add '-1z' to each side of the equation. 2x + y + z + -1z = 8x + -1y + z + -1z Combine like terms: z + -1z = 0 2x + y + 0 = 8x + -1y + z + -1z 2x + y = 8x + -1y + z + -1z Combine like terms: z + -1z = 0 2x + y = 8x + -1y + 0 2x + y = 8x + -1y Solving 2x + y = 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. 2x + -8x + y = 8x + -8x + -1y Combine like terms: 2x + -8x = -6x -6x + y = 8x + -8x + -1y Combine like terms: 8x + -8x = 0 -6x + y = 0 + -1y -6x + y = -1y Add '-1y' to each side of the equation. -6x + y + -1y = -1y + -1y Combine like terms: y + -1y = 0 -6x + 0 = -1y + -1y -6x = -1y + -1y Combine like terms: -1y + -1y = -2y -6x = -2y Divide each side by '-6'. x = 0.3333333333y Simplifying x = 0.3333333333y
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