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Simplifying 5x + 3(4x + 12) = 172 Reorder the terms: 5x + 3(12 + 4x) = 172 5x + (12 * 3 + 4x * 3) = 172 5x + (36 + 12x) = 172 Reorder the terms: 36 + 5x + 12x = 172 Combine like terms: 5x + 12x = 17x 36 + 17x = 172 Solving 36 + 17x = 172 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 17x = 172 + -36 Combine like terms: 36 + -36 = 0 0 + 17x = 172 + -36 17x = 172 + -36 Combine like terms: 172 + -36 = 136 17x = 136 Divide each side by '17'. x = 8 Simplifying x = 8
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