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Simplifying 4x + -6y + -1z = -12 Solving 4x + -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. 4x + -6y + 6y + -1z = -12 + 6y Combine like terms: -6y + 6y = 0 4x + 0 + -1z = -12 + 6y 4x + -1z = -12 + 6y Add 'z' to each side of the equation. 4x + -1z + z = -12 + 6y + z Combine like terms: -1z + z = 0 4x + 0 = -12 + 6y + z 4x = -12 + 6y + z Divide each side by '4'. x = -3 + 1.5y + 0.25z Simplifying x = -3 + 1.5y + 0.25z
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