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Simplifying 6 + 7(3 + -4x) = 82 6 + (3 * 7 + -4x * 7) = 82 6 + (21 + -28x) = 82 Combine like terms: 6 + 21 = 27 27 + -28x = 82 Solving 27 + -28x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -28x = 82 + -27 Combine like terms: 27 + -27 = 0 0 + -28x = 82 + -27 -28x = 82 + -27 Combine like terms: 82 + -27 = 55 -28x = 55 Divide each side by '-28'. x = -1.964285714 Simplifying x = -1.964285714
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