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Simplifying 7x + 2(3x + -11) = 82 Reorder the terms: 7x + 2(-11 + 3x) = 82 7x + (-11 * 2 + 3x * 2) = 82 7x + (-22 + 6x) = 82 Reorder the terms: -22 + 7x + 6x = 82 Combine like terms: 7x + 6x = 13x -22 + 13x = 82 Solving -22 + 13x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 13x = 82 + 22 Combine like terms: -22 + 22 = 0 0 + 13x = 82 + 22 13x = 82 + 22 Combine like terms: 82 + 22 = 104 13x = 104 Divide each side by '13'. x = 8 Simplifying x = 8
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