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Simplifying 12(3x + 5) + 46 = 178 Reorder the terms: 12(5 + 3x) + 46 = 178 (5 * 12 + 3x * 12) + 46 = 178 (60 + 36x) + 46 = 178 Reorder the terms: 60 + 46 + 36x = 178 Combine like terms: 60 + 46 = 106 106 + 36x = 178 Solving 106 + 36x = 178 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-106' to each side of the equation. 106 + -106 + 36x = 178 + -106 Combine like terms: 106 + -106 = 0 0 + 36x = 178 + -106 36x = 178 + -106 Combine like terms: 178 + -106 = 72 36x = 72 Divide each side by '36'. x = 2 Simplifying x = 2
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