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Simplifying 3x + 7y = 5x + 2y Solving 3x + 7y = 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. 3x + -5x + 7y = 5x + -5x + 2y Combine like terms: 3x + -5x = -2x -2x + 7y = 5x + -5x + 2y Combine like terms: 5x + -5x = 0 -2x + 7y = 0 + 2y -2x + 7y = 2y Add '-7y' to each side of the equation. -2x + 7y + -7y = 2y + -7y Combine like terms: 7y + -7y = 0 -2x + 0 = 2y + -7y -2x = 2y + -7y Combine like terms: 2y + -7y = -5y -2x = -5y Divide each side by '-2'. x = 2.5y Simplifying x = 2.5y
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