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Simplifying 0.5x + y + 5z = 1 Solving 0.5x + y + 5z = 1 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. 0.5x + y + -1y + 5z = 1 + -1y Combine like terms: y + -1y = 0 0.5x + 0 + 5z = 1 + -1y 0.5x + 5z = 1 + -1y Add '-5z' to each side of the equation. 0.5x + 5z + -5z = 1 + -1y + -5z Combine like terms: 5z + -5z = 0 0.5x + 0 = 1 + -1y + -5z 0.5x = 1 + -1y + -5z Divide each side by '0.5'. x = 2 + -2y + -10z Simplifying x = 2 + -2y + -10z
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