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Simplifying 2(2x + 1) + 2(x + 1) = 28 Reorder the terms: 2(1 + 2x) + 2(x + 1) = 28 (1 * 2 + 2x * 2) + 2(x + 1) = 28 (2 + 4x) + 2(x + 1) = 28 Reorder the terms: 2 + 4x + 2(1 + x) = 28 2 + 4x + (1 * 2 + x * 2) = 28 2 + 4x + (2 + 2x) = 28 Reorder the terms: 2 + 2 + 4x + 2x = 28 Combine like terms: 2 + 2 = 4 4 + 4x + 2x = 28 Combine like terms: 4x + 2x = 6x 4 + 6x = 28 Solving 4 + 6x = 28 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 + 6x = 28 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = 28 + -4 6x = 28 + -4 Combine like terms: 28 + -4 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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