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Simplifying 3x + 3y + x + y + z = 0 Reorder the terms: 3x + x + 3y + y + z = 0 Combine like terms: 3x + x = 4x 4x + 3y + y + z = 0 Combine like terms: 3y + y = 4y 4x + 4y + z = 0 Solving 4x + 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. 4x + 4y + -4y + z = 0 + -4y Combine like terms: 4y + -4y = 0 4x + 0 + z = 0 + -4y 4x + z = 0 + -4y Remove the zero: 4x + z = -4y Add '-1z' to each side of the equation. 4x + z + -1z = -4y + -1z Combine like terms: z + -1z = 0 4x + 0 = -4y + -1z 4x = -4y + -1z Divide each side by '4'. x = -1y + -0.25z Simplifying x = -1y + -0.25z
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