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Simplifying 5x + 7y + -4z = 31 Solving 5x + 7y + -4z = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 5x + 7y + -7y + -4z = 31 + -7y Combine like terms: 7y + -7y = 0 5x + 0 + -4z = 31 + -7y 5x + -4z = 31 + -7y Add '4z' to each side of the equation. 5x + -4z + 4z = 31 + -7y + 4z Combine like terms: -4z + 4z = 0 5x + 0 = 31 + -7y + 4z 5x = 31 + -7y + 4z Divide each side by '5'. x = 6.2 + -1.4y + 0.8z Simplifying x = 6.2 + -1.4y + 0.8z
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