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Simplifying 2(2x + 2) + 2(x + 4) = 28 Reorder the terms: 2(2 + 2x) + 2(x + 4) = 28 (2 * 2 + 2x * 2) + 2(x + 4) = 28 (4 + 4x) + 2(x + 4) = 28 Reorder the terms: 4 + 4x + 2(4 + x) = 28 4 + 4x + (4 * 2 + x * 2) = 28 4 + 4x + (8 + 2x) = 28 Reorder the terms: 4 + 8 + 4x + 2x = 28 Combine like terms: 4 + 8 = 12 12 + 4x + 2x = 28 Combine like terms: 4x + 2x = 6x 12 + 6x = 28 Solving 12 + 6x = 28 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 + 6x = 28 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 28 + -12 6x = 28 + -12 Combine like terms: 28 + -12 = 16 6x = 16 Divide each side by '6'. x = 2.666666667 Simplifying x = 2.666666667
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