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Simplifying 7x + 27 = 2x + 97 Reorder the terms: 27 + 7x = 2x + 97 Reorder the terms: 27 + 7x = 97 + 2x Solving 27 + 7x = 97 + 2x 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. 27 + 7x + -2x = 97 + 2x + -2x Combine like terms: 7x + -2x = 5x 27 + 5x = 97 + 2x + -2x Combine like terms: 2x + -2x = 0 27 + 5x = 97 + 0 27 + 5x = 97 Add '-27' to each side of the equation. 27 + -27 + 5x = 97 + -27 Combine like terms: 27 + -27 = 0 0 + 5x = 97 + -27 5x = 97 + -27 Combine like terms: 97 + -27 = 70 5x = 70 Divide each side by '5'. x = 14 Simplifying x = 14
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