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Simplifying 4x + 3(7x + 8) = 174 Reorder the terms: 4x + 3(8 + 7x) = 174 4x + (8 * 3 + 7x * 3) = 174 4x + (24 + 21x) = 174 Reorder the terms: 24 + 4x + 21x = 174 Combine like terms: 4x + 21x = 25x 24 + 25x = 174 Solving 24 + 25x = 174 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 25x = 174 + -24 Combine like terms: 24 + -24 = 0 0 + 25x = 174 + -24 25x = 174 + -24 Combine like terms: 174 + -24 = 150 25x = 150 Divide each side by '25'. x = 6 Simplifying x = 6
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