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Simplifying 382 = 2(3x + -1) Reorder the terms: 382 = 2(-1 + 3x) 382 = (-1 * 2 + 3x * 2) 382 = (-2 + 6x) Solving 382 = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 382 + -6x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 382 + -6x = -2 + 0 382 + -6x = -2 Add '-382' to each side of the equation. 382 + -382 + -6x = -2 + -382 Combine like terms: 382 + -382 = 0 0 + -6x = -2 + -382 -6x = -2 + -382 Combine like terms: -2 + -382 = -384 -6x = -384 Divide each side by '-6'. x = 64 Simplifying x = 64
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