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Simplifying 6x + -5y + z = 45 Solving 6x + -5y + z = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 6x + -5y + 5y + z = 45 + 5y Combine like terms: -5y + 5y = 0 6x + 0 + z = 45 + 5y 6x + z = 45 + 5y Add '-1z' to each side of the equation. 6x + z + -1z = 45 + 5y + -1z Combine like terms: z + -1z = 0 6x + 0 = 45 + 5y + -1z 6x = 45 + 5y + -1z Divide each side by '6'. x = 7.5 + 0.8333333333y + -0.1666666667z Simplifying x = 7.5 + 0.8333333333y + -0.1666666667z
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