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Simplifying 6x + 3y + -6z + -1 = 0 Reorder the terms: -1 + 6x + 3y + -6z = 0 Solving -1 + 6x + 3y + -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 + 6x + 3y + 1 + -6z = 0 + 1 Reorder the terms: -1 + 1 + 6x + 3y + -6z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6x + 3y + -6z = 0 + 1 6x + 3y + -6z = 0 + 1 Combine like terms: 0 + 1 = 1 6x + 3y + -6z = 1 Add '-3y' to each side of the equation. 6x + 3y + -3y + -6z = 1 + -3y Combine like terms: 3y + -3y = 0 6x + 0 + -6z = 1 + -3y 6x + -6z = 1 + -3y Add '6z' to each side of the equation. 6x + -6z + 6z = 1 + -3y + 6z Combine like terms: -6z + 6z = 0 6x + 0 = 1 + -3y + 6z 6x = 1 + -3y + 6z Divide each side by '6'. x = 0.1666666667 + -0.5y + z Simplifying x = 0.1666666667 + -0.5y + z
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