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Simplifying 3x + -2y + 2y + -3z + 2z + -4x + -5y = 0 Reorder the terms: 3x + -4x + -2y + 2y + -5y + -3z + 2z = 0 Combine like terms: 3x + -4x = -1x -1x + -2y + 2y + -5y + -3z + 2z = 0 Combine like terms: -2y + 2y = 0 -1x + 0 + -5y + -3z + 2z = 0 -1x + -5y + -3z + 2z = 0 Combine like terms: -3z + 2z = -1z -1x + -5y + -1z = 0 Solving -1x + -5y + -1z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. -1x + -5y + 5y + -1z = 0 + 5y Combine like terms: -5y + 5y = 0 -1x + 0 + -1z = 0 + 5y -1x + -1z = 0 + 5y Remove the zero: -1x + -1z = 5y Add 'z' to each side of the equation. -1x + -1z + z = 5y + z Combine like terms: -1z + z = 0 -1x + 0 = 5y + z -1x = 5y + z Divide each side by '-1'. x = -5y + -1z Simplifying x = -5y + -1z
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