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Simplifying 7x + 5y + 0.5z = 100 Solving 7x + 5y + 0.5z = 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 + 0.5z = 100 + -5y Combine like terms: 5y + -5y = 0 7x + 0 + 0.5z = 100 + -5y 7x + 0.5z = 100 + -5y Add '-0.5z' to each side of the equation. 7x + 0.5z + -0.5z = 100 + -5y + -0.5z Combine like terms: 0.5z + -0.5z = 0.0 7x + 0.0 = 100 + -5y + -0.5z 7x = 100 + -5y + -0.5z Divide each side by '7'. x = 14.28571429 + -0.7142857143y + -0.07142857143z Simplifying x = 14.28571429 + -0.7142857143y + -0.07142857143z
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