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Simplifying 12x + 4y + 6z + -194 = 0 Reorder the terms: -194 + 12x + 4y + 6z = 0 Solving -194 + 12x + 4y + 6z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '194' to each side of the equation. -194 + 12x + 4y + 194 + 6z = 0 + 194 Reorder the terms: -194 + 194 + 12x + 4y + 6z = 0 + 194 Combine like terms: -194 + 194 = 0 0 + 12x + 4y + 6z = 0 + 194 12x + 4y + 6z = 0 + 194 Combine like terms: 0 + 194 = 194 12x + 4y + 6z = 194 Add '-4y' to each side of the equation. 12x + 4y + -4y + 6z = 194 + -4y Combine like terms: 4y + -4y = 0 12x + 0 + 6z = 194 + -4y 12x + 6z = 194 + -4y Add '-6z' to each side of the equation. 12x + 6z + -6z = 194 + -4y + -6z Combine like terms: 6z + -6z = 0 12x + 0 = 194 + -4y + -6z 12x = 194 + -4y + -6z Divide each side by '12'. x = 16.16666667 + -0.3333333333y + -0.5z Simplifying x = 16.16666667 + -0.3333333333y + -0.5z
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