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Simplifying 2x + 5(3x + 11) = 174 Reorder the terms: 2x + 5(11 + 3x) = 174 2x + (11 * 5 + 3x * 5) = 174 2x + (55 + 15x) = 174 Reorder the terms: 55 + 2x + 15x = 174 Combine like terms: 2x + 15x = 17x 55 + 17x = 174 Solving 55 + 17x = 174 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + 17x = 174 + -55 Combine like terms: 55 + -55 = 0 0 + 17x = 174 + -55 17x = 174 + -55 Combine like terms: 174 + -55 = 119 17x = 119 Divide each side by '17'. x = 7 Simplifying x = 7
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