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Simplifying (5x + -2y) + -1(3x + -4y) = 0 Remove parenthesis around (5x + -2y) 5x + -2y + -1(3x + -4y) = 0 5x + -2y + (3x * -1 + -4y * -1) = 0 5x + -2y + (-3x + 4y) = 0 Reorder the terms: 5x + -3x + -2y + 4y = 0 Combine like terms: 5x + -3x = 2x 2x + -2y + 4y = 0 Combine like terms: -2y + 4y = 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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