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Simplifying 2z + 7y + x + y + z = 0 Reorder the terms: x + 7y + y + 2z + z = 0 Combine like terms: 7y + y = 8y x + 8y + 2z + z = 0 Combine like terms: 2z + z = 3z x + 8y + 3z = 0 Solving x + 8y + 3z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. x + 8y + -8y + 3z = 0 + -8y Combine like terms: 8y + -8y = 0 x + 0 + 3z = 0 + -8y x + 3z = 0 + -8y Remove the zero: x + 3z = -8y Add '-3z' to each side of the equation. x + 3z + -3z = -8y + -3z Combine like terms: 3z + -3z = 0 x + 0 = -8y + -3z x = -8y + -3z Simplifying x = -8y + -3z
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