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Simplifying 6x + 4y + z = 27 Solving 6x + 4y + z = 27 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 + z = 27 + -4y Combine like terms: 4y + -4y = 0 6x + 0 + z = 27 + -4y 6x + z = 27 + -4y Add '-1z' to each side of the equation. 6x + z + -1z = 27 + -4y + -1z Combine like terms: z + -1z = 0 6x + 0 = 27 + -4y + -1z 6x = 27 + -4y + -1z Divide each side by '6'. x = 4.5 + -0.6666666667y + -0.1666666667z Simplifying x = 4.5 + -0.6666666667y + -0.1666666667z
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