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Simplifying (3x + -4y) + -1(5x + 2y) = 0 Remove parenthesis around (3x + -4y) 3x + -4y + -1(5x + 2y) = 0 3x + -4y + (5x * -1 + 2y * -1) = 0 3x + -4y + (-5x + -2y) = 0 Reorder the terms: 3x + -5x + -4y + -2y = 0 Combine like terms: 3x + -5x = -2x -2x + -4y + -2y = 0 Combine like terms: -4y + -2y = -6y -2x + -6y = 0 Solving -2x + -6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. -2x + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 -2x + 0 = 0 + 6y -2x = 0 + 6y Remove the zero: -2x = 6y Divide each side by '-2'. x = -3y Simplifying x = -3y
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