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Simplifying 5x + 7y + -5z = 6 Solving 5x + 7y + -5z = 6 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 + -5z = 6 + -7y Combine like terms: 7y + -7y = 0 5x + 0 + -5z = 6 + -7y 5x + -5z = 6 + -7y Add '5z' to each side of the equation. 5x + -5z + 5z = 6 + -7y + 5z Combine like terms: -5z + 5z = 0 5x + 0 = 6 + -7y + 5z 5x = 6 + -7y + 5z Divide each side by '5'. x = 1.2 + -1.4y + z Simplifying x = 1.2 + -1.4y + z
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