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Simplifying 3x + -4y + 12z = 14 Solving 3x + -4y + 12z = 14 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 + 12z = 14 + 4y Combine like terms: -4y + 4y = 0 3x + 0 + 12z = 14 + 4y 3x + 12z = 14 + 4y Add '-12z' to each side of the equation. 3x + 12z + -12z = 14 + 4y + -12z Combine like terms: 12z + -12z = 0 3x + 0 = 14 + 4y + -12z 3x = 14 + 4y + -12z Divide each side by '3'. x = 4.666666667 + 1.333333333y + -4z Simplifying x = 4.666666667 + 1.333333333y + -4z
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