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Simplifying 6x + 7y + 8z + 9 = 0 Reorder the terms: 9 + 6x + 7y + 8z = 0 Solving 9 + 6x + 7y + 8z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 6x + 7y + -9 + 8z = 0 + -9 Reorder the terms: 9 + -9 + 6x + 7y + 8z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 6x + 7y + 8z = 0 + -9 6x + 7y + 8z = 0 + -9 Combine like terms: 0 + -9 = -9 6x + 7y + 8z = -9 Add '-7y' to each side of the equation. 6x + 7y + -7y + 8z = -9 + -7y Combine like terms: 7y + -7y = 0 6x + 0 + 8z = -9 + -7y 6x + 8z = -9 + -7y Add '-8z' to each side of the equation. 6x + 8z + -8z = -9 + -7y + -8z Combine like terms: 8z + -8z = 0 6x + 0 = -9 + -7y + -8z 6x = -9 + -7y + -8z Divide each side by '6'. x = -1.5 + -1.166666667y + -1.333333333z Simplifying x = -1.5 + -1.166666667y + -1.333333333z
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