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Simplifying 2x + 3y = 5x + 2y Solving 2x + 3y = 5x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2x + -5x + 3y = 5x + -5x + 2y Combine like terms: 2x + -5x = -3x -3x + 3y = 5x + -5x + 2y Combine like terms: 5x + -5x = 0 -3x + 3y = 0 + 2y -3x + 3y = 2y Add '-3y' to each side of the equation. -3x + 3y + -3y = 2y + -3y Combine like terms: 3y + -3y = 0 -3x + 0 = 2y + -3y -3x = 2y + -3y Combine like terms: 2y + -3y = -1y -3x = -1y Divide each side by '-3'. x = 0.3333333333y Simplifying x = 0.3333333333y
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