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Simplifying 7x + 49 = 5x + 27 Reorder the terms: 49 + 7x = 5x + 27 Reorder the terms: 49 + 7x = 27 + 5x Solving 49 + 7x = 27 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 49 + 7x + -5x = 27 + 5x + -5x Combine like terms: 7x + -5x = 2x 49 + 2x = 27 + 5x + -5x Combine like terms: 5x + -5x = 0 49 + 2x = 27 + 0 49 + 2x = 27 Add '-49' to each side of the equation. 49 + -49 + 2x = 27 + -49 Combine like terms: 49 + -49 = 0 0 + 2x = 27 + -49 2x = 27 + -49 Combine like terms: 27 + -49 = -22 2x = -22 Divide each side by '2'. x = -11 Simplifying x = -11
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