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Simplifying 7x + -1y + z = 31 Solving 7x + -1y + z = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 7x + -1y + y + z = 31 + y Combine like terms: -1y + y = 0 7x + 0 + z = 31 + y 7x + z = 31 + y Add '-1z' to each side of the equation. 7x + z + -1z = 31 + y + -1z Combine like terms: z + -1z = 0 7x + 0 = 31 + y + -1z 7x = 31 + y + -1z Divide each side by '7'. x = 4.428571429 + 0.1428571429y + -0.1428571429z Simplifying x = 4.428571429 + 0.1428571429y + -0.1428571429z
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