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Simplifying 2x + 3(6x + 18) = 174 Reorder the terms: 2x + 3(18 + 6x) = 174 2x + (18 * 3 + 6x * 3) = 174 2x + (54 + 18x) = 174 Reorder the terms: 54 + 2x + 18x = 174 Combine like terms: 2x + 18x = 20x 54 + 20x = 174 Solving 54 + 20x = 174 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 20x = 174 + -54 Combine like terms: 54 + -54 = 0 0 + 20x = 174 + -54 20x = 174 + -54 Combine like terms: 174 + -54 = 120 20x = 120 Divide each side by '20'. x = 6 Simplifying x = 6
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