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Simplifying 4x + 2y = 2x + 7y Solving 4x + 2y = 2x + 7y 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. 4x + -2x + 2y = 2x + -2x + 7y Combine like terms: 4x + -2x = 2x 2x + 2y = 2x + -2x + 7y Combine like terms: 2x + -2x = 0 2x + 2y = 0 + 7y 2x + 2y = 7y Add '-2y' to each side of the equation. 2x + 2y + -2y = 7y + -2y Combine like terms: 2y + -2y = 0 2x + 0 = 7y + -2y 2x = 7y + -2y Combine like terms: 7y + -2y = 5y 2x = 5y Divide each side by '2'. x = 2.5y Simplifying x = 2.5y
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