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Simplifying x + 3y + -1z = 10 Solving x + 3y + -1z = 10 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. x + 3y + -3y + -1z = 10 + -3y Combine like terms: 3y + -3y = 0 x + 0 + -1z = 10 + -3y x + -1z = 10 + -3y Add 'z' to each side of the equation. x + -1z + z = 10 + -3y + z Combine like terms: -1z + z = 0 x + 0 = 10 + -3y + z x = 10 + -3y + z Simplifying x = 10 + -3y + z
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