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Simplifying -1(5x + -9y + 6z) = 0 (5x * -1 + -9y * -1 + 6z * -1) = 0 (-5x + 9y + -6z) = 0 Solving -5x + 9y + -6z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9y' to each side of the equation. -5x + 9y + -9y + -6z = 0 + -9y Combine like terms: 9y + -9y = 0 -5x + 0 + -6z = 0 + -9y -5x + -6z = 0 + -9y Remove the zero: -5x + -6z = -9y Add '6z' to each side of the equation. -5x + -6z + 6z = -9y + 6z Combine like terms: -6z + 6z = 0 -5x + 0 = -9y + 6z -5x = -9y + 6z Divide each side by '-5'. x = 1.8y + -1.2z Simplifying x = 1.8y + -1.2z
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