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Simplifying 7x + 3(2x + 6) = 174 Reorder the terms: 7x + 3(6 + 2x) = 174 7x + (6 * 3 + 2x * 3) = 174 7x + (18 + 6x) = 174 Reorder the terms: 18 + 7x + 6x = 174 Combine like terms: 7x + 6x = 13x 18 + 13x = 174 Solving 18 + 13x = 174 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 13x = 174 + -18 Combine like terms: 18 + -18 = 0 0 + 13x = 174 + -18 13x = 174 + -18 Combine like terms: 174 + -18 = 156 13x = 156 Divide each side by '13'. x = 12 Simplifying x = 12
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