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Simplifying 5x + 5y + 8z + -2x + 4z + 8y = 0 Reorder the terms: 5x + -2x + 5y + 8y + 8z + 4z = 0 Combine like terms: 5x + -2x = 3x 3x + 5y + 8y + 8z + 4z = 0 Combine like terms: 5y + 8y = 13y 3x + 13y + 8z + 4z = 0 Combine like terms: 8z + 4z = 12z 3x + 13y + 12z = 0 Solving 3x + 13y + 12z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13y' to each side of the equation. 3x + 13y + -13y + 12z = 0 + -13y Combine like terms: 13y + -13y = 0 3x + 0 + 12z = 0 + -13y 3x + 12z = 0 + -13y Remove the zero: 3x + 12z = -13y Add '-12z' to each side of the equation. 3x + 12z + -12z = -13y + -12z Combine like terms: 12z + -12z = 0 3x + 0 = -13y + -12z 3x = -13y + -12z Divide each side by '3'. x = -4.333333333y + -4z Simplifying x = -4.333333333y + -4z
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