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Simplifying 3(2x + 1) + 2(4 + 2) = 21 Reorder the terms: 3(1 + 2x) + 2(4 + 2) = 21 (1 * 3 + 2x * 3) + 2(4 + 2) = 21 (3 + 6x) + 2(4 + 2) = 21 Combine like terms: 4 + 2 = 6 3 + 6x + 2(6) = 21 Multiply 2 * 6 3 + 6x + 12 = 21 Reorder the terms: 3 + 12 + 6x = 21 Combine like terms: 3 + 12 = 15 15 + 6x = 21 Solving 15 + 6x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 6x = 21 + -15 Combine like terms: 15 + -15 = 0 0 + 6x = 21 + -15 6x = 21 + -15 Combine like terms: 21 + -15 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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