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Simplifying 12y + -9x + -1z + 5x + -3z + y = 0 Reorder the terms: -9x + 5x + 12y + y + -1z + -3z = 0 Combine like terms: -9x + 5x = -4x -4x + 12y + y + -1z + -3z = 0 Combine like terms: 12y + y = 13y -4x + 13y + -1z + -3z = 0 Combine like terms: -1z + -3z = -4z -4x + 13y + -4z = 0 Solving -4x + 13y + -4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13y' to each side of the equation. -4x + 13y + -13y + -4z = 0 + -13y Combine like terms: 13y + -13y = 0 -4x + 0 + -4z = 0 + -13y -4x + -4z = 0 + -13y Remove the zero: -4x + -4z = -13y Add '4z' to each side of the equation. -4x + -4z + 4z = -13y + 4z Combine like terms: -4z + 4z = 0 -4x + 0 = -13y + 4z -4x = -13y + 4z Divide each side by '-4'. x = 3.25y + -1z Simplifying x = 3.25y + -1z
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