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Simplifying x + y + z + -3x + -4y + -2z = 0 Reorder the terms: x + -3x + y + -4y + z + -2z = 0 Combine like terms: x + -3x = -2x -2x + y + -4y + z + -2z = 0 Combine like terms: y + -4y = -3y -2x + -3y + z + -2z = 0 Combine like terms: z + -2z = -1z -2x + -3y + -1z = 0 Solving -2x + -3y + -1z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. -2x + -3y + 3y + -1z = 0 + 3y Combine like terms: -3y + 3y = 0 -2x + 0 + -1z = 0 + 3y -2x + -1z = 0 + 3y Remove the zero: -2x + -1z = 3y Add 'z' to each side of the equation. -2x + -1z + z = 3y + z Combine like terms: -1z + z = 0 -2x + 0 = 3y + z -2x = 3y + z Divide each side by '-2'. x = -1.5y + -0.5z Simplifying x = -1.5y + -0.5z
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