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Simplifying 7x + 7y + -1z = 102 Solving 7x + 7y + -1z = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 7x + 7y + -7y + -1z = 102 + -7y Combine like terms: 7y + -7y = 0 7x + 0 + -1z = 102 + -7y 7x + -1z = 102 + -7y Add 'z' to each side of the equation. 7x + -1z + z = 102 + -7y + z Combine like terms: -1z + z = 0 7x + 0 = 102 + -7y + z 7x = 102 + -7y + z Divide each side by '7'. x = 14.57142857 + -1y + 0.1428571429z Simplifying x = 14.57142857 + -1y + 0.1428571429z
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