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Simplifying 12x + -1(4x + 6) = 82 Reorder the terms: 12x + -1(6 + 4x) = 82 12x + (6 * -1 + 4x * -1) = 82 12x + (-6 + -4x) = 82 Reorder the terms: -6 + 12x + -4x = 82 Combine like terms: 12x + -4x = 8x -6 + 8x = 82 Solving -6 + 8x = 82 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 + 8x = 82 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = 82 + 6 8x = 82 + 6 Combine like terms: 82 + 6 = 88 8x = 88 Divide each side by '8'. x = 11 Simplifying x = 11
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