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Simplifying 4x + 3y = 5x + 2y Solving 4x + 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. 4x + -5x + 3y = 5x + -5x + 2y Combine like terms: 4x + -5x = -1x -1x + 3y = 5x + -5x + 2y Combine like terms: 5x + -5x = 0 -1x + 3y = 0 + 2y -1x + 3y = 2y Add '-3y' to each side of the equation. -1x + 3y + -3y = 2y + -3y Combine like terms: 3y + -3y = 0 -1x + 0 = 2y + -3y -1x = 2y + -3y Combine like terms: 2y + -3y = -1y -1x = -1y Divide each side by '-1'. x = y Simplifying x = y
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