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Simplifying 2x + -7(x + -6) = 82 Reorder the terms: 2x + -7(-6 + x) = 82 2x + (-6 * -7 + x * -7) = 82 2x + (42 + -7x) = 82 Reorder the terms: 42 + 2x + -7x = 82 Combine like terms: 2x + -7x = -5x 42 + -5x = 82 Solving 42 + -5x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -5x = 82 + -42 Combine like terms: 42 + -42 = 0 0 + -5x = 82 + -42 -5x = 82 + -42 Combine like terms: 82 + -42 = 40 -5x = 40 Divide each side by '-5'. x = -8 Simplifying x = -8
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