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Simplifying 3x + 2y + (5x + -7y) = 0 Remove parenthesis around (5x + -7y) 3x + 2y + 5x + -7y = 0 Reorder the terms: 3x + 5x + 2y + -7y = 0 Combine like terms: 3x + 5x = 8x 8x + 2y + -7y = 0 Combine like terms: 2y + -7y = -5y 8x + -5y = 0 Solving 8x + -5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 8x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 8x + 0 = 0 + 5y 8x = 0 + 5y Remove the zero: 8x = 5y Divide each side by '8'. x = 0.625y Simplifying x = 0.625y
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