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Simplifying 5x + -7y + 8z = 0 Solving 5x + -7y + 8z = 0 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 + 8z = 0 + 7y Combine like terms: -7y + 7y = 0 5x + 0 + 8z = 0 + 7y 5x + 8z = 0 + 7y Remove the zero: 5x + 8z = 7y Add '-8z' to each side of the equation. 5x + 8z + -8z = 7y + -8z Combine like terms: 8z + -8z = 0 5x + 0 = 7y + -8z 5x = 7y + -8z Divide each side by '5'. x = 1.4y + -1.6z Simplifying x = 1.4y + -1.6z
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