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Simplifying 3x + -2y + -3z + 7x + -5y + 9z = 0 Reorder the terms: 3x + 7x + -2y + -5y + -3z + 9z = 0 Combine like terms: 3x + 7x = 10x 10x + -2y + -5y + -3z + 9z = 0 Combine like terms: -2y + -5y = -7y 10x + -7y + -3z + 9z = 0 Combine like terms: -3z + 9z = 6z 10x + -7y + 6z = 0 Solving 10x + -7y + 6z = 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. 10x + -7y + 7y + 6z = 0 + 7y Combine like terms: -7y + 7y = 0 10x + 0 + 6z = 0 + 7y 10x + 6z = 0 + 7y Remove the zero: 10x + 6z = 7y Add '-6z' to each side of the equation. 10x + 6z + -6z = 7y + -6z Combine like terms: 6z + -6z = 0 10x + 0 = 7y + -6z 10x = 7y + -6z Divide each side by '10'. x = 0.7y + -0.6z Simplifying x = 0.7y + -0.6z
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