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Simplifying 13x + 6y + 5x + 15y + 5z + -13x = 0 Reorder the terms: 13x + 5x + -13x + 6y + 15y + 5z = 0 Combine like terms: 13x + 5x = 18x 18x + -13x + 6y + 15y + 5z = 0 Combine like terms: 18x + -13x = 5x 5x + 6y + 15y + 5z = 0 Combine like terms: 6y + 15y = 21y 5x + 21y + 5z = 0 Solving 5x + 21y + 5z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21y' to each side of the equation. 5x + 21y + -21y + 5z = 0 + -21y Combine like terms: 21y + -21y = 0 5x + 0 + 5z = 0 + -21y 5x + 5z = 0 + -21y Remove the zero: 5x + 5z = -21y Add '-5z' to each side of the equation. 5x + 5z + -5z = -21y + -5z Combine like terms: 5z + -5z = 0 5x + 0 = -21y + -5z 5x = -21y + -5z Divide each side by '5'. x = -4.2y + -1z Simplifying x = -4.2y + -1z
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