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Simplifying 5x + 3(6x + 12) = 174 Reorder the terms: 5x + 3(12 + 6x) = 174 5x + (12 * 3 + 6x * 3) = 174 5x + (36 + 18x) = 174 Reorder the terms: 36 + 5x + 18x = 174 Combine like terms: 5x + 18x = 23x 36 + 23x = 174 Solving 36 + 23x = 174 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 23x = 174 + -36 Combine like terms: 36 + -36 = 0 0 + 23x = 174 + -36 23x = 174 + -36 Combine like terms: 174 + -36 = 138 23x = 138 Divide each side by '23'. x = 6 Simplifying x = 6
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