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Simplifying 0.1x + 6y + 3z = 1000 Solving 0.1x + 6y + 3z = 1000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 0.1x + 6y + -6y + 3z = 1000 + -6y Combine like terms: 6y + -6y = 0 0.1x + 0 + 3z = 1000 + -6y 0.1x + 3z = 1000 + -6y Add '-3z' to each side of the equation. 0.1x + 3z + -3z = 1000 + -6y + -3z Combine like terms: 3z + -3z = 0 0.1x + 0 = 1000 + -6y + -3z 0.1x = 1000 + -6y + -3z Divide each side by '0.1'. x = 10000 + -60y + -30z Simplifying x = 10000 + -60y + -30z
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