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Simplifying 2(2x + 1) + -8 = -46 Reorder the terms: 2(1 + 2x) + -8 = -46 (1 * 2 + 2x * 2) + -8 = -46 (2 + 4x) + -8 = -46 Reorder the terms: 2 + -8 + 4x = -46 Combine like terms: 2 + -8 = -6 -6 + 4x = -46 Solving -6 + 4x = -46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 4x = -46 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = -46 + 6 4x = -46 + 6 Combine like terms: -46 + 6 = -40 4x = -40 Divide each side by '4'. x = -10 Simplifying x = -10
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