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