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Simplifying 2.5x + -2.9y + 5.3x + -0.3y = 0 Reorder the terms: 2.5x + 5.3x + -2.9y + -0.3y = 0 Combine like terms: 2.5x + 5.3x = 7.8x 7.8x + -2.9y + -0.3y = 0 Combine like terms: -2.9y + -0.3y = -3.2y 7.8x + -3.2y = 0 Solving 7.8x + -3.2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.2y' to each side of the equation. 7.8x + -3.2y + 3.2y = 0 + 3.2y Combine like terms: -3.2y + 3.2y = 0.0 7.8x + 0.0 = 0 + 3.2y 7.8x = 0 + 3.2y Remove the zero: 7.8x = 3.2y Divide each side by '7.8'. x = 0.4102564103y Simplifying x = 0.4102564103y
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