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