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Simplifying (2x + 3y + -5) + (3x + 2y + -5) = 0 Reorder the terms: (-5 + 2x + 3y) + (3x + 2y + -5) = 0 Remove parenthesis around (-5 + 2x + 3y) -5 + 2x + 3y + (3x + 2y + -5) = 0 Reorder the terms: -5 + 2x + 3y + (-5 + 3x + 2y) = 0 Remove parenthesis around (-5 + 3x + 2y) -5 + 2x + 3y + -5 + 3x + 2y = 0 Reorder the terms: -5 + -5 + 2x + 3x + 3y + 2y = 0 Combine like terms: -5 + -5 = -10 -10 + 2x + 3x + 3y + 2y = 0 Combine like terms: 2x + 3x = 5x -10 + 5x + 3y + 2y = 0 Combine like terms: 3y + 2y = 5y -10 + 5x + 5y = 0 Solving -10 + 5x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 5x + 10 + 5y = 0 + 10 Reorder the terms: -10 + 10 + 5x + 5y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 5x + 5y = 0 + 10 5x + 5y = 0 + 10 Combine like terms: 0 + 10 = 10 5x + 5y = 10 Add '-5y' to each side of the equation. 5x + 5y + -5y = 10 + -5y Combine like terms: 5y + -5y = 0 5x + 0 = 10 + -5y 5x = 10 + -5y Divide each side by '5'. x = 2 + -1y Simplifying x = 2 + -1y
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