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Simplifying -3x + 2y + z = -6 Solving -3x + 2y + z = -6 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. -3x + 2y + -2y + z = -6 + -2y Combine like terms: 2y + -2y = 0 -3x + 0 + z = -6 + -2y -3x + z = -6 + -2y Add '-1z' to each side of the equation. -3x + z + -1z = -6 + -2y + -1z Combine like terms: z + -1z = 0 -3x + 0 = -6 + -2y + -1z -3x = -6 + -2y + -1z Divide each side by '-3'. x = 2 + 0.6666666667y + 0.3333333333z Simplifying x = 2 + 0.6666666667y + 0.3333333333z
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