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Simplifying 2x + 3y + 4z + 3x + -5y + z = 0 Reorder the terms: 2x + 3x + 3y + -5y + 4z + z = 0 Combine like terms: 2x + 3x = 5x 5x + 3y + -5y + 4z + z = 0 Combine like terms: 3y + -5y = -2y 5x + -2y + 4z + z = 0 Combine like terms: 4z + z = 5z 5x + -2y + 5z = 0 Solving 5x + -2y + 5z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 5x + -2y + 2y + 5z = 0 + 2y Combine like terms: -2y + 2y = 0 5x + 0 + 5z = 0 + 2y 5x + 5z = 0 + 2y Remove the zero: 5x + 5z = 2y Add '-5z' to each side of the equation. 5x + 5z + -5z = 2y + -5z Combine like terms: 5z + -5z = 0 5x + 0 = 2y + -5z 5x = 2y + -5z Divide each side by '5'. x = 0.4y + -1z Simplifying x = 0.4y + -1z
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