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Simplifying 7x + 5y + 7z + -3x + 5z + -6y = 0 Reorder the terms: 7x + -3x + 5y + -6y + 7z + 5z = 0 Combine like terms: 7x + -3x = 4x 4x + 5y + -6y + 7z + 5z = 0 Combine like terms: 5y + -6y = -1y 4x + -1y + 7z + 5z = 0 Combine like terms: 7z + 5z = 12z 4x + -1y + 12z = 0 Solving 4x + -1y + 12z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 4x + -1y + y + 12z = 0 + y Combine like terms: -1y + y = 0 4x + 0 + 12z = 0 + y 4x + 12z = 0 + y Remove the zero: 4x + 12z = y Add '-12z' to each side of the equation. 4x + 12z + -12z = y + -12z Combine like terms: 12z + -12z = 0 4x + 0 = y + -12z 4x = y + -12z Divide each side by '4'. x = 0.25y + -3z Simplifying x = 0.25y + -3z
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