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Simplifying 7x + 3y + 8z + -5x + 4z + -4y = 0 Reorder the terms: 7x + -5x + 3y + -4y + 8z + 4z = 0 Combine like terms: 7x + -5x = 2x 2x + 3y + -4y + 8z + 4z = 0 Combine like terms: 3y + -4y = -1y 2x + -1y + 8z + 4z = 0 Combine like terms: 8z + 4z = 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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