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Simplifying 3x + 2y + 2x + 5z + 7y + 2z = 0 Reorder the terms: 3x + 2x + 2y + 7y + 5z + 2z = 0 Combine like terms: 3x + 2x = 5x 5x + 2y + 7y + 5z + 2z = 0 Combine like terms: 2y + 7y = 9y 5x + 9y + 5z + 2z = 0 Combine like terms: 5z + 2z = 7z 5x + 9y + 7z = 0 Solving 5x + 9y + 7z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9y' to each side of the equation. 5x + 9y + -9y + 7z = 0 + -9y Combine like terms: 9y + -9y = 0 5x + 0 + 7z = 0 + -9y 5x + 7z = 0 + -9y Remove the zero: 5x + 7z = -9y Add '-7z' to each side of the equation. 5x + 7z + -7z = -9y + -7z Combine like terms: 7z + -7z = 0 5x + 0 = -9y + -7z 5x = -9y + -7z Divide each side by '5'. x = -1.8y + -1.4z Simplifying x = -1.8y + -1.4z
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