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Simplifying 3x + 2y + -4z + 2x + -1y + 4z = 0 Reorder the terms: 3x + 2x + 2y + -1y + -4z + 4z = 0 Combine like terms: 3x + 2x = 5x 5x + 2y + -1y + -4z + 4z = 0 Combine like terms: 2y + -1y = 1y 5x + 1y + -4z + 4z = 0 Combine like terms: -4z + 4z = 0 5x + 1y + 0 = 0 5x + 1y = 0 Solving 5x + 1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 5x + 1y + -1y = 0 + -1y Combine like terms: 1y + -1y = 0 5x + 0 = 0 + -1y 5x = 0 + -1y Remove the zero: 5x = -1y Divide each side by '5'. x = -0.2y Simplifying x = -0.2y
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