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