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Simplifying 12(x + 1) = 3(4 + 1) + 9 Reorder the terms: 12(1 + x) = 3(4 + 1) + 9 (1 * 12 + x * 12) = 3(4 + 1) + 9 (12 + 12x) = 3(4 + 1) + 9 Combine like terms: 4 + 1 = 5 12 + 12x = 3(5) + 9 Multiply 3 * 5 12 + 12x = 15 + 9 Combine like terms: 15 + 9 = 24 12 + 12x = 24 Solving 12 + 12x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 12x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 12x = 24 + -12 12x = 24 + -12 Combine like terms: 24 + -12 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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