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Simplifying x + -4y + 5z + -3x + -1y + 2z = 0 Reorder the terms: x + -3x + -4y + -1y + 5z + 2z = 0 Combine like terms: x + -3x = -2x -2x + -4y + -1y + 5z + 2z = 0 Combine like terms: -4y + -1y = -5y -2x + -5y + 5z + 2z = 0 Combine like terms: 5z + 2z = 7z -2x + -5y + 7z = 0 Solving -2x + -5y + 7z = 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. -2x + -5y + 5y + 7z = 0 + 5y Combine like terms: -5y + 5y = 0 -2x + 0 + 7z = 0 + 5y -2x + 7z = 0 + 5y Remove the zero: -2x + 7z = 5y Add '-7z' to each side of the equation. -2x + 7z + -7z = 5y + -7z Combine like terms: 7z + -7z = 0 -2x + 0 = 5y + -7z -2x = 5y + -7z Divide each side by '-2'. x = -2.5y + 3.5z Simplifying x = -2.5y + 3.5z
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