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Simplifying (7x + -4y) + -1(2x + -7y) = 0 Remove parenthesis around (7x + -4y) 7x + -4y + -1(2x + -7y) = 0 7x + -4y + (2x * -1 + -7y * -1) = 0 7x + -4y + (-2x + 7y) = 0 Reorder the terms: 7x + -2x + -4y + 7y = 0 Combine like terms: 7x + -2x = 5x 5x + -4y + 7y = 0 Combine like terms: -4y + 7y = 3y 5x + 3y = 0 Solving 5x + 3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 5x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 5x + 0 = 0 + -3y 5x = 0 + -3y Remove the zero: 5x = -3y Divide each side by '5'. x = -0.6y Simplifying x = -0.6y
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