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Simplifying (7x + -3y) + -1(5x + -5y) = 0 Remove parenthesis around (7x + -3y) 7x + -3y + -1(5x + -5y) = 0 7x + -3y + (5x * -1 + -5y * -1) = 0 7x + -3y + (-5x + 5y) = 0 Reorder the terms: 7x + -5x + -3y + 5y = 0 Combine like terms: 7x + -5x = 2x 2x + -3y + 5y = 0 Combine like terms: -3y + 5y = 2y 2x + 2y = 0 Solving 2x + 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. 2x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 0 + -2y 2x = 0 + -2y Remove the zero: 2x = -2y Divide each side by '2'. x = -1y Simplifying x = -1y
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