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Simplifying 0.5x + 0.01y + 0.1z = 100 Solving 0.5x + 0.01y + 0.1z = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.01y' to each side of the equation. 0.5x + 0.01y + -0.01y + 0.1z = 100 + -0.01y Combine like terms: 0.01y + -0.01y = 0.00 0.5x + 0.00 + 0.1z = 100 + -0.01y 0.5x + 0.1z = 100 + -0.01y Add '-0.1z' to each side of the equation. 0.5x + 0.1z + -0.1z = 100 + -0.01y + -0.1z Combine like terms: 0.1z + -0.1z = 0.0 0.5x + 0.0 = 100 + -0.01y + -0.1z 0.5x = 100 + -0.01y + -0.1z Divide each side by '0.5'. x = 200 + -0.02y + -0.2z Simplifying x = 200 + -0.02y + -0.2z
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