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