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Simplifying 3x + 4z + -2y + x = 0 Reorder the terms: 3x + x + -2y + 4z = 0 Combine like terms: 3x + x = 4x 4x + -2y + 4z = 0 Solving 4x + -2y + 4z = 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. 4x + -2y + 2y + 4z = 0 + 2y Combine like terms: -2y + 2y = 0 4x + 0 + 4z = 0 + 2y 4x + 4z = 0 + 2y Remove the zero: 4x + 4z = 2y Add '-4z' to each side of the equation. 4x + 4z + -4z = 2y + -4z Combine like terms: 4z + -4z = 0 4x + 0 = 2y + -4z 4x = 2y + -4z Divide each side by '4'. x = 0.5y + -1z Simplifying x = 0.5y + -1z
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