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Simplifying 46 = -2(1 + -4x) 46 = (1 * -2 + -4x * -2) 46 = (-2 + 8x) Solving 46 = -2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 46 + -8x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 46 + -8x = -2 + 0 46 + -8x = -2 Add '-46' to each side of the equation. 46 + -46 + -8x = -2 + -46 Combine like terms: 46 + -46 = 0 0 + -8x = -2 + -46 -8x = -2 + -46 Combine like terms: -2 + -46 = -48 -8x = -48 Divide each side by '-8'. x = 6 Simplifying x = 6
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