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Simplifying 4x + -6y + -12z = 16 Solving 4x + -6y + -12z = 16 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 = 16 + 6y Combine like terms: -6y + 6y = 0 4x + 0 + -12z = 16 + 6y 4x + -12z = 16 + 6y Add '12z' to each side of the equation. 4x + -12z + 12z = 16 + 6y + 12z Combine like terms: -12z + 12z = 0 4x + 0 = 16 + 6y + 12z 4x = 16 + 6y + 12z Divide each side by '4'. x = 4 + 1.5y + 3z Simplifying x = 4 + 1.5y + 3z
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