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Simplifying 5x + 8y + 10z = 1000 Solving 5x + 8y + 10z = 1000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. 5x + 8y + -8y + 10z = 1000 + -8y Combine like terms: 8y + -8y = 0 5x + 0 + 10z = 1000 + -8y 5x + 10z = 1000 + -8y Add '-10z' to each side of the equation. 5x + 10z + -10z = 1000 + -8y + -10z Combine like terms: 10z + -10z = 0 5x + 0 = 1000 + -8y + -10z 5x = 1000 + -8y + -10z Divide each side by '5'. x = 200 + -1.6y + -2z Simplifying x = 200 + -1.6y + -2z
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