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Simplifying 3x + 4x + 6y + -14z = 45 Combine like terms: 3x + 4x = 7x 7x + 6y + -14z = 45 Solving 7x + 6y + -14z = 45 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 + -14z = 45 + -6y Combine like terms: 6y + -6y = 0 7x + 0 + -14z = 45 + -6y 7x + -14z = 45 + -6y Add '14z' to each side of the equation. 7x + -14z + 14z = 45 + -6y + 14z Combine like terms: -14z + 14z = 0 7x + 0 = 45 + -6y + 14z 7x = 45 + -6y + 14z Divide each side by '7'. x = 6.428571429 + -0.8571428571y + 2z Simplifying x = 6.428571429 + -0.8571428571y + 2z
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