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Simplifying 2(4x + 7) = 83 Reorder the terms: 2(7 + 4x) = 83 (7 * 2 + 4x * 2) = 83 (14 + 8x) = 83 Solving 14 + 8x = 83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 8x = 83 + -14 Combine like terms: 14 + -14 = 0 0 + 8x = 83 + -14 8x = 83 + -14 Combine like terms: 83 + -14 = 69 8x = 69 Divide each side by '8'. x = 8.625 Simplifying x = 8.625
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