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Simplifying 2(3x + 1) + 2(2x + 1) = 24 Reorder the terms: 2(1 + 3x) + 2(2x + 1) = 24 (1 * 2 + 3x * 2) + 2(2x + 1) = 24 (2 + 6x) + 2(2x + 1) = 24 Reorder the terms: 2 + 6x + 2(1 + 2x) = 24 2 + 6x + (1 * 2 + 2x * 2) = 24 2 + 6x + (2 + 4x) = 24 Reorder the terms: 2 + 2 + 6x + 4x = 24 Combine like terms: 2 + 2 = 4 4 + 6x + 4x = 24 Combine like terms: 6x + 4x = 10x 4 + 10x = 24 Solving 4 + 10x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 10x = 24 + -4 Combine like terms: 4 + -4 = 0 0 + 10x = 24 + -4 10x = 24 + -4 Combine like terms: 24 + -4 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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