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Simplifying 5y + -10x + -3y + 13x + -2y + 8x + -4z = 0 Reorder the terms: -10x + 13x + 8x + 5y + -3y + -2y + -4z = 0 Combine like terms: -10x + 13x = 3x 3x + 8x + 5y + -3y + -2y + -4z = 0 Combine like terms: 3x + 8x = 11x 11x + 5y + -3y + -2y + -4z = 0 Combine like terms: 5y + -3y = 2y 11x + 2y + -2y + -4z = 0 Combine like terms: 2y + -2y = 0 11x + 0 + -4z = 0 11x + -4z = 0 Solving 11x + -4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4z' to each side of the equation. 11x + -4z + 4z = 0 + 4z Combine like terms: -4z + 4z = 0 11x + 0 = 0 + 4z 11x = 0 + 4z Remove the zero: 11x = 4z Divide each side by '11'. x = 0.3636363636z Simplifying x = 0.3636363636z
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