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Simplifying 2x + -5(x + 11) = -82 Reorder the terms: 2x + -5(11 + x) = -82 2x + (11 * -5 + x * -5) = -82 2x + (-55 + -5x) = -82 Reorder the terms: -55 + 2x + -5x = -82 Combine like terms: 2x + -5x = -3x -55 + -3x = -82 Solving -55 + -3x = -82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + -3x = -82 + 55 Combine like terms: -55 + 55 = 0 0 + -3x = -82 + 55 -3x = -82 + 55 Combine like terms: -82 + 55 = -27 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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