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Simplifying (5x + -2y) + (x + -3y) = 0 Remove parenthesis around (5x + -2y) 5x + -2y + (x + -3y) = 0 Remove parenthesis around (x + -3y) 5x + -2y + x + -3y = 0 Reorder the terms: 5x + x + -2y + -3y = 0 Combine like terms: 5x + x = 6x 6x + -2y + -3y = 0 Combine like terms: -2y + -3y = -5y 6x + -5y = 0 Solving 6x + -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. 6x + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 6x + 0 = 0 + 5y 6x = 0 + 5y Remove the zero: 6x = 5y Divide each side by '6'. x = 0.8333333333y Simplifying x = 0.8333333333y
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