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Simplifying 2(-3x + 7) = -46 Reorder the terms: 2(7 + -3x) = -46 (7 * 2 + -3x * 2) = -46 (14 + -6x) = -46 Solving 14 + -6x = -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 + -6x = -46 + -14 Combine like terms: 14 + -14 = 0 0 + -6x = -46 + -14 -6x = -46 + -14 Combine like terms: -46 + -14 = -60 -6x = -60 Divide each side by '-6'. x = 10 Simplifying x = 10
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