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Simplifying 8x + 3y + 7z + -3x + 5z + -7y = 0 Reorder the terms: 8x + -3x + 3y + -7y + 7z + 5z = 0 Combine like terms: 8x + -3x = 5x 5x + 3y + -7y + 7z + 5z = 0 Combine like terms: 3y + -7y = -4y 5x + -4y + 7z + 5z = 0 Combine like terms: 7z + 5z = 12z 5x + -4y + 12z = 0 Solving 5x + -4y + 12z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 5x + -4y + 4y + 12z = 0 + 4y Combine like terms: -4y + 4y = 0 5x + 0 + 12z = 0 + 4y 5x + 12z = 0 + 4y Remove the zero: 5x + 12z = 4y Add '-12z' to each side of the equation. 5x + 12z + -12z = 4y + -12z Combine like terms: 12z + -12z = 0 5x + 0 = 4y + -12z 5x = 4y + -12z Divide each side by '5'. x = 0.8y + -2.4z Simplifying x = 0.8y + -2.4z
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