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Simplifying (5x + 3y) + -1(7x + -4y) = 0 Remove parenthesis around (5x + 3y) 5x + 3y + -1(7x + -4y) = 0 5x + 3y + (7x * -1 + -4y * -1) = 0 5x + 3y + (-7x + 4y) = 0 Reorder the terms: 5x + -7x + 3y + 4y = 0 Combine like terms: 5x + -7x = -2x -2x + 3y + 4y = 0 Combine like terms: 3y + 4y = 7y -2x + 7y = 0 Solving -2x + 7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. -2x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 -2x + 0 = 0 + -7y -2x = 0 + -7y Remove the zero: -2x = -7y Divide each side by '-2'. x = 3.5y Simplifying x = 3.5y
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