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Simplifying 5x + 4y + -3z + -8x + y + 3z = 0 Reorder the terms: 5x + -8x + 4y + y + -3z + 3z = 0 Combine like terms: 5x + -8x = -3x -3x + 4y + y + -3z + 3z = 0 Combine like terms: 4y + y = 5y -3x + 5y + -3z + 3z = 0 Combine like terms: -3z + 3z = 0 -3x + 5y + 0 = 0 -3x + 5y = 0 Solving -3x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. -3x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 -3x + 0 = 0 + -5y -3x = 0 + -5y Remove the zero: -3x = -5y Divide each side by '-3'. x = 1.666666667y Simplifying x = 1.666666667y
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