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Simplifying 2(x + 1 + 2x + 7) = 52 Reorder the terms: 2(1 + 7 + x + 2x) = 52 Combine like terms: 1 + 7 = 8 2(8 + x + 2x) = 52 Combine like terms: x + 2x = 3x 2(8 + 3x) = 52 (8 * 2 + 3x * 2) = 52 (16 + 6x) = 52 Solving 16 + 6x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 6x = 52 + -16 Combine like terms: 16 + -16 = 0 0 + 6x = 52 + -16 6x = 52 + -16 Combine like terms: 52 + -16 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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