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Simplifying 2x + 2(6x + 10) = 174 Reorder the terms: 2x + 2(10 + 6x) = 174 2x + (10 * 2 + 6x * 2) = 174 2x + (20 + 12x) = 174 Reorder the terms: 20 + 2x + 12x = 174 Combine like terms: 2x + 12x = 14x 20 + 14x = 174 Solving 20 + 14x = 174 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 14x = 174 + -20 Combine like terms: 20 + -20 = 0 0 + 14x = 174 + -20 14x = 174 + -20 Combine like terms: 174 + -20 = 154 14x = 154 Divide each side by '14'. x = 11 Simplifying x = 11
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