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Simplifying 5x + 2y + 7z + -3x + 5z + -3y = 0 Reorder the terms: 5x + -3x + 2y + -3y + 7z + 5z = 0 Combine like terms: 5x + -3x = 2x 2x + 2y + -3y + 7z + 5z = 0 Combine like terms: 2y + -3y = -1y 2x + -1y + 7z + 5z = 0 Combine like terms: 7z + 5z = 12z 2x + -1y + 12z = 0 Solving 2x + -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. 2x + -1y + y + 12z = 0 + y Combine like terms: -1y + y = 0 2x + 0 + 12z = 0 + y 2x + 12z = 0 + y Remove the zero: 2x + 12z = y Add '-12z' to each side of the equation. 2x + 12z + -12z = y + -12z Combine like terms: 12z + -12z = 0 2x + 0 = y + -12z 2x = y + -12z Divide each side by '2'. x = 0.5y + -6z Simplifying x = 0.5y + -6z
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