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Simplifying 6x + 5y + -8z = -5 + y + -8z Add '8z' to each side of the equation. 6x + 5y + -8z + 8z = -5 + y + -8z + 8z Combine like terms: -8z + 8z = 0 6x + 5y + 0 = -5 + y + -8z + 8z 6x + 5y = -5 + y + -8z + 8z Combine like terms: -8z + 8z = 0 6x + 5y = -5 + y + 0 6x + 5y = -5 + y Solving 6x + 5y = -5 + y 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. 6x + 5y + -5y = -5 + y + -5y Combine like terms: 5y + -5y = 0 6x + 0 = -5 + y + -5y 6x = -5 + y + -5y Combine like terms: y + -5y = -4y 6x = -5 + -4y Divide each side by '6'. x = -0.8333333333 + -0.6666666667y Simplifying x = -0.8333333333 + -0.6666666667y
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