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Simplifying 5x + y + 0.1z = 50 Solving 5x + y + 0.1z = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 5x + y + -1y + 0.1z = 50 + -1y Combine like terms: y + -1y = 0 5x + 0 + 0.1z = 50 + -1y 5x + 0.1z = 50 + -1y Add '-0.1z' to each side of the equation. 5x + 0.1z + -0.1z = 50 + -1y + -0.1z Combine like terms: 0.1z + -0.1z = 0.0 5x + 0.0 = 50 + -1y + -0.1z 5x = 50 + -1y + -0.1z Divide each side by '5'. x = 10 + -0.2y + -0.02z Simplifying x = 10 + -0.2y + -0.02z
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