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Simplifying 8x + -3x + 4y + -2z + 5z = 0 Combine like terms: 8x + -3x = 5x 5x + 4y + -2z + 5z = 0 Combine like terms: -2z + 5z = 3z 5x + 4y + 3z = 0 Solving 5x + 4y + 3z = 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 + 3z = 0 + -4y Combine like terms: 4y + -4y = 0 5x + 0 + 3z = 0 + -4y 5x + 3z = 0 + -4y Remove the zero: 5x + 3z = -4y Add '-3z' to each side of the equation. 5x + 3z + -3z = -4y + -3z Combine like terms: 3z + -3z = 0 5x + 0 = -4y + -3z 5x = -4y + -3z Divide each side by '5'. x = -0.8y + -0.6z Simplifying x = -0.8y + -0.6z
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