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Simplifying 2x + y + -4z + 4x + -3y + 7z = 0 Reorder the terms: 2x + 4x + y + -3y + -4z + 7z = 0 Combine like terms: 2x + 4x = 6x 6x + y + -3y + -4z + 7z = 0 Combine like terms: y + -3y = -2y 6x + -2y + -4z + 7z = 0 Combine like terms: -4z + 7z = 3z 6x + -2y + 3z = 0 Solving 6x + -2y + 3z = 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. 6x + -2y + 2y + 3z = 0 + 2y Combine like terms: -2y + 2y = 0 6x + 0 + 3z = 0 + 2y 6x + 3z = 0 + 2y Remove the zero: 6x + 3z = 2y Add '-3z' to each side of the equation. 6x + 3z + -3z = 2y + -3z Combine like terms: 3z + -3z = 0 6x + 0 = 2y + -3z 6x = 2y + -3z Divide each side by '6'. x = 0.3333333333y + -0.5z Simplifying x = 0.3333333333y + -0.5z
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