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Simplifying 2(x + 1) + 2(3x + 1) = 24 Reorder the terms: 2(1 + x) + 2(3x + 1) = 24 (1 * 2 + x * 2) + 2(3x + 1) = 24 (2 + 2x) + 2(3x + 1) = 24 Reorder the terms: 2 + 2x + 2(1 + 3x) = 24 2 + 2x + (1 * 2 + 3x * 2) = 24 2 + 2x + (2 + 6x) = 24 Reorder the terms: 2 + 2 + 2x + 6x = 24 Combine like terms: 2 + 2 = 4 4 + 2x + 6x = 24 Combine like terms: 2x + 6x = 8x 4 + 8x = 24 Solving 4 + 8x = 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 + 8x = 24 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 24 + -4 8x = 24 + -4 Combine like terms: 24 + -4 = 20 8x = 20 Divide each side by '8'. x = 2.5 Simplifying x = 2.5
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