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Simplifying (3x + -4y) + -1(5x + -3y) = 0 Remove parenthesis around (3x + -4y) 3x + -4y + -1(5x + -3y) = 0 3x + -4y + (5x * -1 + -3y * -1) = 0 3x + -4y + (-5x + 3y) = 0 Reorder the terms: 3x + -5x + -4y + 3y = 0 Combine like terms: 3x + -5x = -2x -2x + -4y + 3y = 0 Combine like terms: -4y + 3y = -1y -2x + -1y = 0 Solving -2x + -1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. -2x + -1y + y = 0 + y Combine like terms: -1y + y = 0 -2x + 0 = 0 + y -2x = 0 + y Remove the zero: -2x = y Divide each side by '-2'. x = -0.5y Simplifying x = -0.5y
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