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Simplifying 2x + y + -1z = 6y + z + -1x Reorder the terms: 2x + y + -1z = -1x + 6y + z Solving 2x + y + -1z = -1x + 6y + z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2x + y + x + -1z = -1x + 6y + x + z Reorder the terms: 2x + x + y + -1z = -1x + 6y + x + z Combine like terms: 2x + x = 3x 3x + y + -1z = -1x + 6y + x + z Reorder the terms: 3x + y + -1z = -1x + x + 6y + z Combine like terms: -1x + x = 0 3x + y + -1z = 0 + 6y + z 3x + y + -1z = 6y + z Add '-1y' to each side of the equation. 3x + y + -1y + -1z = 6y + -1y + z Combine like terms: y + -1y = 0 3x + 0 + -1z = 6y + -1y + z 3x + -1z = 6y + -1y + z Combine like terms: 6y + -1y = 5y 3x + -1z = 5y + z Add 'z' to each side of the equation. 3x + -1z + z = 5y + z + z Combine like terms: -1z + z = 0 3x + 0 = 5y + z + z 3x = 5y + z + z Combine like terms: z + z = 2z 3x = 5y + 2z Divide each side by '3'. x = 1.666666667y + 0.6666666667z Simplifying x = 1.666666667y + 0.6666666667z
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