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Simplifying 6x + -20y + 7z + -8x + 25y + -11z = 0 Reorder the terms: 6x + -8x + -20y + 25y + 7z + -11z = 0 Combine like terms: 6x + -8x = -2x -2x + -20y + 25y + 7z + -11z = 0 Combine like terms: -20y + 25y = 5y -2x + 5y + 7z + -11z = 0 Combine like terms: 7z + -11z = -4z -2x + 5y + -4z = 0 Solving -2x + 5y + -4z = 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 + -4z = 0 + -5y Combine like terms: 5y + -5y = 0 -2x + 0 + -4z = 0 + -5y -2x + -4z = 0 + -5y Remove the zero: -2x + -4z = -5y Add '4z' to each side of the equation. -2x + -4z + 4z = -5y + 4z Combine like terms: -4z + 4z = 0 -2x + 0 = -5y + 4z -2x = -5y + 4z Divide each side by '-2'. x = 2.5y + -2z Simplifying x = 2.5y + -2z
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