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Simplifying 7x + 6y + -3z = 43 Solving 7x + 6y + -3z = 43 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. 7x + 6y + -6y + -3z = 43 + -6y Combine like terms: 6y + -6y = 0 7x + 0 + -3z = 43 + -6y 7x + -3z = 43 + -6y Add '3z' to each side of the equation. 7x + -3z + 3z = 43 + -6y + 3z Combine like terms: -3z + 3z = 0 7x + 0 = 43 + -6y + 3z 7x = 43 + -6y + 3z Divide each side by '7'. x = 6.142857143 + -0.8571428571y + 0.4285714286z Simplifying x = 6.142857143 + -0.8571428571y + 0.4285714286z
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