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Simplifying 7x + 5y + 1z = 100 Solving 7x + 5y + 1z = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 7x + 5y + -5y + 1z = 100 + -5y Combine like terms: 5y + -5y = 0 7x + 0 + 1z = 100 + -5y 7x + 1z = 100 + -5y Add '-1z' to each side of the equation. 7x + 1z + -1z = 100 + -5y + -1z Combine like terms: 1z + -1z = 0 7x + 0 = 100 + -5y + -1z 7x = 100 + -5y + -1z Divide each side by '7'. x = 14.28571429 + -0.7142857143y + -0.1428571429z Simplifying x = 14.28571429 + -0.7142857143y + -0.1428571429z
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