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