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Simplifying 4.5x + -3.8y + 6.9x + -0.2y = 0 Reorder the terms: 4.5x + 6.9x + -3.8y + -0.2y = 0 Combine like terms: 4.5x + 6.9x = 11.4x 11.4x + -3.8y + -0.2y = 0 Combine like terms: -3.8y + -0.2y = -4y 11.4x + -4y = 0 Solving 11.4x + -4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 11.4x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 11.4x + 0 = 0 + 4y 11.4x = 0 + 4y Remove the zero: 11.4x = 4y Divide each side by '11.4'. x = 0.350877193y Simplifying x = 0.350877193y
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