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Simplifying 4x + 3(7x + -17) = 174 Reorder the terms: 4x + 3(-17 + 7x) = 174 4x + (-17 * 3 + 7x * 3) = 174 4x + (-51 + 21x) = 174 Reorder the terms: -51 + 4x + 21x = 174 Combine like terms: 4x + 21x = 25x -51 + 25x = 174 Solving -51 + 25x = 174 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + 25x = 174 + 51 Combine like terms: -51 + 51 = 0 0 + 25x = 174 + 51 25x = 174 + 51 Combine like terms: 174 + 51 = 225 25x = 225 Divide each side by '25'. x = 9 Simplifying x = 9
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