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Simplifying 8x + 4y + 5z + -5x + 4z + -7y = 0 Reorder the terms: 8x + -5x + 4y + -7y + 5z + 4z = 0 Combine like terms: 8x + -5x = 3x 3x + 4y + -7y + 5z + 4z = 0 Combine like terms: 4y + -7y = -3y 3x + -3y + 5z + 4z = 0 Combine like terms: 5z + 4z = 9z 3x + -3y + 9z = 0 Solving 3x + -3y + 9z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 3x + -3y + 3y + 9z = 0 + 3y Combine like terms: -3y + 3y = 0 3x + 0 + 9z = 0 + 3y 3x + 9z = 0 + 3y Remove the zero: 3x + 9z = 3y Add '-9z' to each side of the equation. 3x + 9z + -9z = 3y + -9z Combine like terms: 9z + -9z = 0 3x + 0 = 3y + -9z 3x = 3y + -9z Divide each side by '3'. x = y + -3z Simplifying x = y + -3z
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