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Simplifying 5x + 5y + 6z + -3x + 3z + -7y = 0 Reorder the terms: 5x + -3x + 5y + -7y + 6z + 3z = 0 Combine like terms: 5x + -3x = 2x 2x + 5y + -7y + 6z + 3z = 0 Combine like terms: 5y + -7y = -2y 2x + -2y + 6z + 3z = 0 Combine like terms: 6z + 3z = 9z 2x + -2y + 9z = 0 Solving 2x + -2y + 9z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 2x + -2y + 2y + 9z = 0 + 2y Combine like terms: -2y + 2y = 0 2x + 0 + 9z = 0 + 2y 2x + 9z = 0 + 2y Remove the zero: 2x + 9z = 2y Add '-9z' to each side of the equation. 2x + 9z + -9z = 2y + -9z Combine like terms: 9z + -9z = 0 2x + 0 = 2y + -9z 2x = 2y + -9z Divide each side by '2'. x = y + -4.5z Simplifying x = y + -4.5z
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