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Simplifying 4x + -5y + -12z = 0 Solving 4x + -5y + -12z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 4x + -5y + 5y + -12z = 0 + 5y Combine like terms: -5y + 5y = 0 4x + 0 + -12z = 0 + 5y 4x + -12z = 0 + 5y Remove the zero: 4x + -12z = 5y Add '12z' to each side of the equation. 4x + -12z + 12z = 5y + 12z Combine like terms: -12z + 12z = 0 4x + 0 = 5y + 12z 4x = 5y + 12z Divide each side by '4'. x = 1.25y + 3z Simplifying x = 1.25y + 3z
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