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Simplifying 10x + 13y + 15z + 5.5x + -6y + -10.5z = 0 Reorder the terms: 10x + 5.5x + 13y + -6y + 15z + -10.5z = 0 Combine like terms: 10x + 5.5x = 15.5x 15.5x + 13y + -6y + 15z + -10.5z = 0 Combine like terms: 13y + -6y = 7y 15.5x + 7y + 15z + -10.5z = 0 Combine like terms: 15z + -10.5z = 4.5z 15.5x + 7y + 4.5z = 0 Solving 15.5x + 7y + 4.5z = 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. 15.5x + 7y + -7y + 4.5z = 0 + -7y Combine like terms: 7y + -7y = 0 15.5x + 0 + 4.5z = 0 + -7y 15.5x + 4.5z = 0 + -7y Remove the zero: 15.5x + 4.5z = -7y Add '-4.5z' to each side of the equation. 15.5x + 4.5z + -4.5z = -7y + -4.5z Combine like terms: 4.5z + -4.5z = 0.0 15.5x + 0.0 = -7y + -4.5z 15.5x = -7y + -4.5z Divide each side by '15.5'. x = -0.4516129032y + -0.2903225806z Simplifying x = -0.4516129032y + -0.2903225806z
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