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Simplifying 2(3 + 6x) + -5 = 61 (3 * 2 + 6x * 2) + -5 = 61 (6 + 12x) + -5 = 61 Reorder the terms: 6 + -5 + 12x = 61 Combine like terms: 6 + -5 = 1 1 + 12x = 61 Solving 1 + 12x = 61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 12x = 61 + -1 Combine like terms: 1 + -1 = 0 0 + 12x = 61 + -1 12x = 61 + -1 Combine like terms: 61 + -1 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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