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Simplifying 2x + 3y = 7x + -4y Solving 2x + 3y = 7x + -4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 2x + -7x + 3y = 7x + -7x + -4y Combine like terms: 2x + -7x = -5x -5x + 3y = 7x + -7x + -4y Combine like terms: 7x + -7x = 0 -5x + 3y = 0 + -4y -5x + 3y = -4y Add '-3y' to each side of the equation. -5x + 3y + -3y = -4y + -3y Combine like terms: 3y + -3y = 0 -5x + 0 = -4y + -3y -5x = -4y + -3y Combine like terms: -4y + -3y = -7y -5x = -7y Divide each side by '-5'. x = 1.4y Simplifying x = 1.4y
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