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Simplifying (5x + -2y) + (4x + -3y) = 0 Remove parenthesis around (5x + -2y) 5x + -2y + (4x + -3y) = 0 Remove parenthesis around (4x + -3y) 5x + -2y + 4x + -3y = 0 Reorder the terms: 5x + 4x + -2y + -3y = 0 Combine like terms: 5x + 4x = 9x 9x + -2y + -3y = 0 Combine like terms: -2y + -3y = -5y 9x + -5y = 0 Solving 9x + -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. 9x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 9x + 0 = 0 + 5y 9x = 0 + 5y Remove the zero: 9x = 5y Divide each side by '9'. x = 0.5555555556y Simplifying x = 0.5555555556y
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