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