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Simplifying 5x + -3x + -2z + 6y + 7z + y = 0 Reorder the terms: 5x + -3x + 6y + y + -2z + 7z = 0 Combine like terms: 5x + -3x = 2x 2x + 6y + y + -2z + 7z = 0 Combine like terms: 6y + y = 7y 2x + 7y + -2z + 7z = 0 Combine like terms: -2z + 7z = 5z 2x + 7y + 5z = 0 Solving 2x + 7y + 5z = 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 + 5z = 0 + -7y Combine like terms: 7y + -7y = 0 2x + 0 + 5z = 0 + -7y 2x + 5z = 0 + -7y Remove the zero: 2x + 5z = -7y Add '-5z' to each side of the equation. 2x + 5z + -5z = -7y + -5z Combine like terms: 5z + -5z = 0 2x + 0 = -7y + -5z 2x = -7y + -5z Divide each side by '2'. x = -3.5y + -2.5z Simplifying x = -3.5y + -2.5z
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