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