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Simplifying 7x + 6y + 0.1z = 100 Solving 7x + 6y + 0.1z = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 7x + 6y + -6y + 0.1z = 100 + -6y Combine like terms: 6y + -6y = 0 7x + 0 + 0.1z = 100 + -6y 7x + 0.1z = 100 + -6y Add '-0.1z' to each side of the equation. 7x + 0.1z + -0.1z = 100 + -6y + -0.1z Combine like terms: 0.1z + -0.1z = 0.0 7x + 0.0 = 100 + -6y + -0.1z 7x = 100 + -6y + -0.1z Divide each side by '7'. x = 14.28571429 + -0.8571428571y + -0.01428571429z Simplifying x = 14.28571429 + -0.8571428571y + -0.01428571429z
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