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Simplifying 5x + -3y + -1z = 1 Solving 5x + -3y + -1z = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 5x + -3y + 3y + -1z = 1 + 3y Combine like terms: -3y + 3y = 0 5x + 0 + -1z = 1 + 3y 5x + -1z = 1 + 3y Add 'z' to each side of the equation. 5x + -1z + z = 1 + 3y + z Combine like terms: -1z + z = 0 5x + 0 = 1 + 3y + z 5x = 1 + 3y + z Divide each side by '5'. x = 0.2 + 0.6y + 0.2z Simplifying x = 0.2 + 0.6y + 0.2z
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