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Simplifying 6x + -3y + z = 6 Solving 6x + -3y + z = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 6x + -3y + 3y + z = 6 + 3y Combine like terms: -3y + 3y = 0 6x + 0 + z = 6 + 3y 6x + z = 6 + 3y Add '-1z' to each side of the equation. 6x + z + -1z = 6 + 3y + -1z Combine like terms: z + -1z = 0 6x + 0 = 6 + 3y + -1z 6x = 6 + 3y + -1z Divide each side by '6'. x = 1 + 0.5y + -0.1666666667z Simplifying x = 1 + 0.5y + -0.1666666667z
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