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Simplifying 3x + 5y + -6z + -1 = 0 Reorder the terms: -1 + 3x + 5y + -6z = 0 Solving -1 + 3x + 5y + -6z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 3x + 5y + 1 + -6z = 0 + 1 Reorder the terms: -1 + 1 + 3x + 5y + -6z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3x + 5y + -6z = 0 + 1 3x + 5y + -6z = 0 + 1 Combine like terms: 0 + 1 = 1 3x + 5y + -6z = 1 Add '-5y' to each side of the equation. 3x + 5y + -5y + -6z = 1 + -5y Combine like terms: 5y + -5y = 0 3x + 0 + -6z = 1 + -5y 3x + -6z = 1 + -5y Add '6z' to each side of the equation. 3x + -6z + 6z = 1 + -5y + 6z Combine like terms: -6z + 6z = 0 3x + 0 = 1 + -5y + 6z 3x = 1 + -5y + 6z Divide each side by '3'. x = 0.3333333333 + -1.666666667y + 2z Simplifying x = 0.3333333333 + -1.666666667y + 2z
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