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