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Simplifying (8x + -9y) + -1(3x + -5y) = 0 Remove parenthesis around (8x + -9y) 8x + -9y + -1(3x + -5y) = 0 8x + -9y + (3x * -1 + -5y * -1) = 0 8x + -9y + (-3x + 5y) = 0 Reorder the terms: 8x + -3x + -9y + 5y = 0 Combine like terms: 8x + -3x = 5x 5x + -9y + 5y = 0 Combine like terms: -9y + 5y = -4y 5x + -4y = 0 Solving 5x + -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. 5x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 5x + 0 = 0 + 4y 5x = 0 + 4y Remove the zero: 5x = 4y Divide each side by '5'. x = 0.8y Simplifying x = 0.8y
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