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Simplifying (5x + 7y) + (3x + -9y) = 0 Remove parenthesis around (5x + 7y) 5x + 7y + (3x + -9y) = 0 Remove parenthesis around (3x + -9y) 5x + 7y + 3x + -9y = 0 Reorder the terms: 5x + 3x + 7y + -9y = 0 Combine like terms: 5x + 3x = 8x 8x + 7y + -9y = 0 Combine like terms: 7y + -9y = -2y 8x + -2y = 0 Solving 8x + -2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 8x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 8x + 0 = 0 + 2y 8x = 0 + 2y Remove the zero: 8x = 2y Divide each side by '8'. x = 0.25y Simplifying x = 0.25y
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