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Simplifying 1.8(2.5x + -2.6y) + -2.5(2.0x + 1.5y) = 0 (2.5x * 1.8 + -2.6y * 1.8) + -2.5(2.0x + 1.5y) = 0 (4.5x + -4.68y) + -2.5(2.0x + 1.5y) = 0 4.5x + -4.68y + (2.0x * -2.5 + 1.5y * -2.5) = 0 4.5x + -4.68y + (-5x + -3.75y) = 0 Reorder the terms: 4.5x + -5x + -4.68y + -3.75y = 0 Combine like terms: 4.5x + -5x = -0.5x -0.5x + -4.68y + -3.75y = 0 Combine like terms: -4.68y + -3.75y = -8.43y -0.5x + -8.43y = 0 Solving -0.5x + -8.43y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8.43y' to each side of the equation. -0.5x + -8.43y + 8.43y = 0 + 8.43y Combine like terms: -8.43y + 8.43y = 0.00 -0.5x + 0.00 = 0 + 8.43y -0.5x = 0 + 8.43y Remove the zero: -0.5x = 8.43y Divide each side by '-0.5'. x = -16.86y Simplifying x = -16.86y
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