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Simplifying x + -4y + 2z + -3x + -3y + 2z = 0 Reorder the terms: x + -3x + -4y + -3y + 2z + 2z = 0 Combine like terms: x + -3x = -2x -2x + -4y + -3y + 2z + 2z = 0 Combine like terms: -4y + -3y = -7y -2x + -7y + 2z + 2z = 0 Combine like terms: 2z + 2z = 4z -2x + -7y + 4z = 0 Solving -2x + -7y + 4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. -2x + -7y + 7y + 4z = 0 + 7y Combine like terms: -7y + 7y = 0 -2x + 0 + 4z = 0 + 7y -2x + 4z = 0 + 7y Remove the zero: -2x + 4z = 7y Add '-4z' to each side of the equation. -2x + 4z + -4z = 7y + -4z Combine like terms: 4z + -4z = 0 -2x + 0 = 7y + -4z -2x = 7y + -4z Divide each side by '-2'. x = -3.5y + 2z Simplifying x = -3.5y + 2z
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