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