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Simplifying 8x + 5y + 7z + -5x + 5z + -7y = 0 Reorder the terms: 8x + -5x + 5y + -7y + 7z + 5z = 0 Combine like terms: 8x + -5x = 3x 3x + 5y + -7y + 7z + 5z = 0 Combine like terms: 5y + -7y = -2y 3x + -2y + 7z + 5z = 0 Combine like terms: 7z + 5z = 12z 3x + -2y + 12z = 0 Solving 3x + -2y + 12z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 3x + -2y + 2y + 12z = 0 + 2y Combine like terms: -2y + 2y = 0 3x + 0 + 12z = 0 + 2y 3x + 12z = 0 + 2y Remove the zero: 3x + 12z = 2y Add '-12z' to each side of the equation. 3x + 12z + -12z = 2y + -12z Combine like terms: 12z + -12z = 0 3x + 0 = 2y + -12z 3x = 2y + -12z Divide each side by '3'. x = 0.6666666667y + -4z Simplifying x = 0.6666666667y + -4z
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