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Simplifying 4x + 2(4x + 15) = 174 Reorder the terms: 4x + 2(15 + 4x) = 174 4x + (15 * 2 + 4x * 2) = 174 4x + (30 + 8x) = 174 Reorder the terms: 30 + 4x + 8x = 174 Combine like terms: 4x + 8x = 12x 30 + 12x = 174 Solving 30 + 12x = 174 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 12x = 174 + -30 Combine like terms: 30 + -30 = 0 0 + 12x = 174 + -30 12x = 174 + -30 Combine like terms: 174 + -30 = 144 12x = 144 Divide each side by '12'. x = 12 Simplifying x = 12
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