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Simplifying x + -2y + 3z = 6 Solving x + -2y + 3z = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. x + -2y + 2y + 3z = 6 + 2y Combine like terms: -2y + 2y = 0 x + 0 + 3z = 6 + 2y x + 3z = 6 + 2y Add '-3z' to each side of the equation. x + 3z + -3z = 6 + 2y + -3z Combine like terms: 3z + -3z = 0 x + 0 = 6 + 2y + -3z x = 6 + 2y + -3z Simplifying x = 6 + 2y + -3z
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