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Simplifying 2x + 4y = 3x + 5y + 7 Reorder the terms: 2x + 4y = 7 + 3x + 5y Solving 2x + 4y = 7 + 3x + 5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2x + -3x + 4y = 7 + 3x + -3x + 5y Combine like terms: 2x + -3x = -1x -1x + 4y = 7 + 3x + -3x + 5y Combine like terms: 3x + -3x = 0 -1x + 4y = 7 + 0 + 5y -1x + 4y = 7 + 5y Add '-4y' to each side of the equation. -1x + 4y + -4y = 7 + 5y + -4y Combine like terms: 4y + -4y = 0 -1x + 0 = 7 + 5y + -4y -1x = 7 + 5y + -4y Combine like terms: 5y + -4y = 1y -1x = 7 + 1y Divide each side by '-1'. x = -7 + -1y Simplifying x = -7 + -1y
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