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Simplifying -2.5(3x + 9y) + -1.6(x + 0.5y) = 0 (3x * -2.5 + 9y * -2.5) + -1.6(x + 0.5y) = 0 (-7.5x + -22.5y) + -1.6(x + 0.5y) = 0 -7.5x + -22.5y + (x * -1.6 + 0.5y * -1.6) = 0 -7.5x + -22.5y + (-1.6x + -0.8y) = 0 Reorder the terms: -7.5x + -1.6x + -22.5y + -0.8y = 0 Combine like terms: -7.5x + -1.6x = -9.1x -9.1x + -22.5y + -0.8y = 0 Combine like terms: -22.5y + -0.8y = -23.3y -9.1x + -23.3y = 0 Solving -9.1x + -23.3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23.3y' to each side of the equation. -9.1x + -23.3y + 23.3y = 0 + 23.3y Combine like terms: -23.3y + 23.3y = 0.0 -9.1x + 0.0 = 0 + 23.3y -9.1x = 0 + 23.3y Remove the zero: -9.1x = 23.3y Divide each side by '-9.1'. x = -2.56043956y Simplifying x = -2.56043956y
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