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Simplifying 2x + 5y + 0.1z = 100 Solving 2x + 5y + 0.1z = 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. 2x + 5y + -5y + 0.1z = 100 + -5y Combine like terms: 5y + -5y = 0 2x + 0 + 0.1z = 100 + -5y 2x + 0.1z = 100 + -5y Add '-0.1z' to each side of the equation. 2x + 0.1z + -0.1z = 100 + -5y + -0.1z Combine like terms: 0.1z + -0.1z = 0.0 2x + 0.0 = 100 + -5y + -0.1z 2x = 100 + -5y + -0.1z Divide each side by '2'. x = 50 + -2.5y + -0.05z Simplifying x = 50 + -2.5y + -0.05z
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