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Simplifying 2x + 5y = 4x + -4y Solving 2x + 5y = 4x + -4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2x + -4x + 5y = 4x + -4x + -4y Combine like terms: 2x + -4x = -2x -2x + 5y = 4x + -4x + -4y Combine like terms: 4x + -4x = 0 -2x + 5y = 0 + -4y -2x + 5y = -4y Add '-5y' to each side of the equation. -2x + 5y + -5y = -4y + -5y Combine like terms: 5y + -5y = 0 -2x + 0 = -4y + -5y -2x = -4y + -5y Combine like terms: -4y + -5y = -9y -2x = -9y Divide each side by '-2'. x = 4.5y Simplifying x = 4.5y
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