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Simplifying 4x + 7(3x + 7) = 174 Reorder the terms: 4x + 7(7 + 3x) = 174 4x + (7 * 7 + 3x * 7) = 174 4x + (49 + 21x) = 174 Reorder the terms: 49 + 4x + 21x = 174 Combine like terms: 4x + 21x = 25x 49 + 25x = 174 Solving 49 + 25x = 174 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 25x = 174 + -49 Combine like terms: 49 + -49 = 0 0 + 25x = 174 + -49 25x = 174 + -49 Combine like terms: 174 + -49 = 125 25x = 125 Divide each side by '25'. x = 5 Simplifying x = 5
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