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Simplifying (5x + -7y) + (5y + -2x) = 0 Remove parenthesis around (5x + -7y) 5x + -7y + (5y + -2x) = 0 Reorder the terms: 5x + -7y + (-2x + 5y) = 0 Remove parenthesis around (-2x + 5y) 5x + -7y + -2x + 5y = 0 Reorder the terms: 5x + -2x + -7y + 5y = 0 Combine like terms: 5x + -2x = 3x 3x + -7y + 5y = 0 Combine like terms: -7y + 5y = -2y 3x + -2y = 0 Solving 3x + -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. 3x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 3x + 0 = 0 + 2y 3x = 0 + 2y Remove the zero: 3x = 2y Divide each side by '3'. x = 0.6666666667y Simplifying x = 0.6666666667y
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