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Simplifying 2(4x + 7) = -46 Reorder the terms: 2(7 + 4x) = -46 (7 * 2 + 4x * 2) = -46 (14 + 8x) = -46 Solving 14 + 8x = -46 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 = -46 + -14 Combine like terms: 14 + -14 = 0 0 + 8x = -46 + -14 8x = -46 + -14 Combine like terms: -46 + -14 = -60 8x = -60 Divide each side by '8'. x = -7.5 Simplifying x = -7.5
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