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Simplifying 5x + -7y + -1z = 5 Solving 5x + -7y + -1z = 5 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 + -1z = 5 + 7y Combine like terms: -7y + 7y = 0 5x + 0 + -1z = 5 + 7y 5x + -1z = 5 + 7y Add 'z' to each side of the equation. 5x + -1z + z = 5 + 7y + z Combine like terms: -1z + z = 0 5x + 0 = 5 + 7y + z 5x = 5 + 7y + z Divide each side by '5'. x = 1 + 1.4y + 0.2z Simplifying x = 1 + 1.4y + 0.2z
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