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Simplifying 3x + 6y + z = 1 Solving 3x + 6y + z = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 3x + 6y + -6y + z = 1 + -6y Combine like terms: 6y + -6y = 0 3x + 0 + z = 1 + -6y 3x + z = 1 + -6y Add '-1z' to each side of the equation. 3x + z + -1z = 1 + -6y + -1z Combine like terms: z + -1z = 0 3x + 0 = 1 + -6y + -1z 3x = 1 + -6y + -1z Divide each side by '3'. x = 0.3333333333 + -2y + -0.3333333333z Simplifying x = 0.3333333333 + -2y + -0.3333333333z
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