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Simplifying 2x + -1y + z + 5x + 2y + -2z = 14 Reorder the terms: 2x + 5x + -1y + 2y + z + -2z = 14 Combine like terms: 2x + 5x = 7x 7x + -1y + 2y + z + -2z = 14 Combine like terms: -1y + 2y = 1y 7x + 1y + z + -2z = 14 Combine like terms: z + -2z = -1z 7x + 1y + -1z = 14 Solving 7x + 1y + -1z = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 7x + 1y + -1y + -1z = 14 + -1y Combine like terms: 1y + -1y = 0 7x + 0 + -1z = 14 + -1y 7x + -1z = 14 + -1y Add 'z' to each side of the equation. 7x + -1z + z = 14 + -1y + z Combine like terms: -1z + z = 0 7x + 0 = 14 + -1y + z 7x = 14 + -1y + z Divide each side by '7'. x = 2 + -0.1428571429y + 0.1428571429z Simplifying x = 2 + -0.1428571429y + 0.1428571429z
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