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