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Simplifying x + -6y + -1z = 12 Solving x + -6y + -1z = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. x + -6y + 6y + -1z = 12 + 6y Combine like terms: -6y + 6y = 0 x + 0 + -1z = 12 + 6y x + -1z = 12 + 6y Add 'z' to each side of the equation. x + -1z + z = 12 + 6y + z Combine like terms: -1z + z = 0 x + 0 = 12 + 6y + z x = 12 + 6y + z Simplifying x = 12 + 6y + z
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