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Simplifying 3x + 4y + 2z = 12 Solving 3x + 4y + 2z = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 3x + 4y + -4y + 2z = 12 + -4y Combine like terms: 4y + -4y = 0 3x + 0 + 2z = 12 + -4y 3x + 2z = 12 + -4y Add '-2z' to each side of the equation. 3x + 2z + -2z = 12 + -4y + -2z Combine like terms: 2z + -2z = 0 3x + 0 = 12 + -4y + -2z 3x = 12 + -4y + -2z Divide each side by '3'. x = 4 + -1.333333333y + -0.6666666667z Simplifying x = 4 + -1.333333333y + -0.6666666667z
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