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Simplifying (8x + 5y) + (-9x + 8y) = 0 Remove parenthesis around (8x + 5y) 8x + 5y + (-9x + 8y) = 0 Remove parenthesis around (-9x + 8y) 8x + 5y + -9x + 8y = 0 Reorder the terms: 8x + -9x + 5y + 8y = 0 Combine like terms: 8x + -9x = -1x -1x + 5y + 8y = 0 Combine like terms: 5y + 8y = 13y -1x + 13y = 0 Solving -1x + 13y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13y' to each side of the equation. -1x + 13y + -13y = 0 + -13y Combine like terms: 13y + -13y = 0 -1x + 0 = 0 + -13y -1x = 0 + -13y Remove the zero: -1x = -13y Divide each side by '-1'. x = 13y Simplifying x = 13y
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