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Simplifying 8x + 3y + 3z + -5x + 2z = 0 Reorder the terms: 8x + -5x + 3y + 3z + 2z = 0 Combine like terms: 8x + -5x = 3x 3x + 3y + 3z + 2z = 0 Combine like terms: 3z + 2z = 5z 3x + 3y + 5z = 0 Solving 3x + 3y + 5z = 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 + 5z = 0 + -3y Combine like terms: 3y + -3y = 0 3x + 0 + 5z = 0 + -3y 3x + 5z = 0 + -3y Remove the zero: 3x + 5z = -3y Add '-5z' to each side of the equation. 3x + 5z + -5z = -3y + -5z Combine like terms: 5z + -5z = 0 3x + 0 = -3y + -5z 3x = -3y + -5z Divide each side by '3'. x = -1y + -1.666666667z Simplifying x = -1y + -1.666666667z
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