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Simplifying 6x + 4y + -3z = 67 Solving 6x + 4y + -3z = 67 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. 6x + 4y + -4y + -3z = 67 + -4y Combine like terms: 4y + -4y = 0 6x + 0 + -3z = 67 + -4y 6x + -3z = 67 + -4y Add '3z' to each side of the equation. 6x + -3z + 3z = 67 + -4y + 3z Combine like terms: -3z + 3z = 0 6x + 0 = 67 + -4y + 3z 6x = 67 + -4y + 3z Divide each side by '6'. x = 11.16666667 + -0.6666666667y + 0.5z Simplifying x = 11.16666667 + -0.6666666667y + 0.5z
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