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Simplifying x + 4y + -1z = 12 Solving x + 4y + -1z = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. x + 4y + -4y + -1z = 12 + -4y Combine like terms: 4y + -4y = 0 x + 0 + -1z = 12 + -4y x + -1z = 12 + -4y Add 'z' to each side of the equation. x + -1z + z = 12 + -4y + z Combine like terms: -1z + z = 0 x + 0 = 12 + -4y + z x = 12 + -4y + z Simplifying x = 12 + -4y + z
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