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Simplifying x0 + y0 + z0 + (x + y + z) = 0 Remove parenthesis around (x + y + z) + + + x + y + z = 0 Combine like terms: + = 2 2 + + x + y + z = 0 Combine like terms: 2 + = 3 3 + x + y + z = 0 Solving 3 + x + y + z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + x + y + -3 + z = 0 + -3 Reorder the terms: 3 + -3 + x + y + z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x + y + z = 0 + -3 x + y + z = 0 + -3 Combine like terms: 0 + -3 = -3 x + y + z = -3 Add '-1y' to each side of the equation. x + y + -1y + z = -3 + -1y Combine like terms: y + -1y = 0 x + 0 + z = -3 + -1y x + z = -3 + -1y Add '-1z' to each side of the equation. x + z + -1z = -3 + -1y + -1z Combine like terms: z + -1z = 0 x + 0 = -3 + -1y + -1z x = -3 + -1y + -1z Simplifying x = -3 + -1y + -1z
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