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Simplifying 3x + -5y + 8z = 60 Solving 3x + -5y + 8z = 60 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 = 60 + 5y Combine like terms: -5y + 5y = 0 3x + 0 + 8z = 60 + 5y 3x + 8z = 60 + 5y Add '-8z' to each side of the equation. 3x + 8z + -8z = 60 + 5y + -8z Combine like terms: 8z + -8z = 0 3x + 0 = 60 + 5y + -8z 3x = 60 + 5y + -8z Divide each side by '3'. x = 20 + 1.666666667y + -2.666666667z Simplifying x = 20 + 1.666666667y + -2.666666667z
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