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Simplifying 4x + -3y + -2z = 12 Solving 4x + -3y + -2z = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 4x + -3y + 3y + -2z = 12 + 3y Combine like terms: -3y + 3y = 0 4x + 0 + -2z = 12 + 3y 4x + -2z = 12 + 3y Add '2z' to each side of the equation. 4x + -2z + 2z = 12 + 3y + 2z Combine like terms: -2z + 2z = 0 4x + 0 = 12 + 3y + 2z 4x = 12 + 3y + 2z Divide each side by '4'. x = 3 + 0.75y + 0.5z Simplifying x = 3 + 0.75y + 0.5z
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