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Simplifying 3x + -8y + 2z + -1x + 12z + -3z = 0 Reorder the terms: 3x + -1x + -8y + 2z + 12z + -3z = 0 Combine like terms: 3x + -1x = 2x 2x + -8y + 2z + 12z + -3z = 0 Combine like terms: 2z + 12z = 14z 2x + -8y + 14z + -3z = 0 Combine like terms: 14z + -3z = 11z 2x + -8y + 11z = 0 Solving 2x + -8y + 11z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8y' to each side of the equation. 2x + -8y + 8y + 11z = 0 + 8y Combine like terms: -8y + 8y = 0 2x + 0 + 11z = 0 + 8y 2x + 11z = 0 + 8y Remove the zero: 2x + 11z = 8y Add '-11z' to each side of the equation. 2x + 11z + -11z = 8y + -11z Combine like terms: 11z + -11z = 0 2x + 0 = 8y + -11z 2x = 8y + -11z Divide each side by '2'. x = 4y + -5.5z Simplifying x = 4y + -5.5z
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