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Simplifying 3x + 5y + -8z = 1000 Solving 3x + 5y + -8z = 1000 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. 3x + 5y + -5y + -8z = 1000 + -5y Combine like terms: 5y + -5y = 0 3x + 0 + -8z = 1000 + -5y 3x + -8z = 1000 + -5y Add '8z' to each side of the equation. 3x + -8z + 8z = 1000 + -5y + 8z Combine like terms: -8z + 8z = 0 3x + 0 = 1000 + -5y + 8z 3x = 1000 + -5y + 8z Divide each side by '3'. x = 333.3333333 + -1.666666667y + 2.666666667z Simplifying x = 333.3333333 + -1.666666667y + 2.666666667z
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