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Simplifying 4x + 8y + -12z = 0 Solving 4x + 8y + -12z = 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. 4x + 8y + -8y + -12z = 0 + -8y Combine like terms: 8y + -8y = 0 4x + 0 + -12z = 0 + -8y 4x + -12z = 0 + -8y Remove the zero: 4x + -12z = -8y Add '12z' to each side of the equation. 4x + -12z + 12z = -8y + 12z Combine like terms: -12z + 12z = 0 4x + 0 = -8y + 12z 4x = -8y + 12z Divide each side by '4'. x = -2y + 3z Simplifying x = -2y + 3z
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