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Simplifying X + x + x + y + y + -1z + z + -1z = 0 Combine like terms: x + x = 2x X + 2x + y + y + -1z + z + -1z = 0 Combine like terms: y + y = 2y X + 2x + 2y + -1z + z + -1z = 0 Combine like terms: -1z + z = 0 X + 2x + 2y + 0 + -1z = 0 X + 2x + 2y + -1z = 0 Solving X + 2x + 2y + -1z = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2x' to each side of the equation. X + 2x + 2y + -2x + -1z = 0 + -2x Reorder the terms: X + 2x + -2x + 2y + -1z = 0 + -2x Combine like terms: 2x + -2x = 0 X + 0 + 2y + -1z = 0 + -2x X + 2y + -1z = 0 + -2x Remove the zero: X + 2y + -1z = -2x Add '-2y' to each side of the equation. X + 2y + -2y + -1z = -2x + -2y Combine like terms: 2y + -2y = 0 X + 0 + -1z = -2x + -2y X + -1z = -2x + -2y Add 'z' to each side of the equation. X + -1z + z = -2x + -2y + z Combine like terms: -1z + z = 0 X + 0 = -2x + -2y + z X = -2x + -2y + z Simplifying X = -2x + -2y + z
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