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Simplifying (5x + -4y) + -1(7x + -2y) = 0 Remove parenthesis around (5x + -4y) 5x + -4y + -1(7x + -2y) = 0 5x + -4y + (7x * -1 + -2y * -1) = 0 5x + -4y + (-7x + 2y) = 0 Reorder the terms: 5x + -7x + -4y + 2y = 0 Combine like terms: 5x + -7x = -2x -2x + -4y + 2y = 0 Combine like terms: -4y + 2y = -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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