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Simplifying 5y + 2x + -4z + 2y = 0 Reorder the terms: 2x + 5y + 2y + -4z = 0 Combine like terms: 5y + 2y = 7y 2x + 7y + -4z = 0 Solving 2x + 7y + -4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 2x + 7y + -7y + -4z = 0 + -7y Combine like terms: 7y + -7y = 0 2x + 0 + -4z = 0 + -7y 2x + -4z = 0 + -7y Remove the zero: 2x + -4z = -7y Add '4z' to each side of the equation. 2x + -4z + 4z = -7y + 4z Combine like terms: -4z + 4z = 0 2x + 0 = -7y + 4z 2x = -7y + 4z Divide each side by '2'. x = -3.5y + 2z Simplifying x = -3.5y + 2z
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