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Simplifying 4x + 6y + -3z = 12 Solving 4x + 6y + -3z = 12 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 + -3z = 12 + -6y Combine like terms: 6y + -6y = 0 4x + 0 + -3z = 12 + -6y 4x + -3z = 12 + -6y Add '3z' to each side of the equation. 4x + -3z + 3z = 12 + -6y + 3z Combine like terms: -3z + 3z = 0 4x + 0 = 12 + -6y + 3z 4x = 12 + -6y + 3z Divide each side by '4'. x = 3 + -1.5y + 0.75z Simplifying x = 3 + -1.5y + 0.75z
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