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Simplifying (12x + -82) + (11x + -69) = 0 Reorder the terms: (-82 + 12x) + (11x + -69) = 0 Remove parenthesis around (-82 + 12x) -82 + 12x + (11x + -69) = 0 Reorder the terms: -82 + 12x + (-69 + 11x) = 0 Remove parenthesis around (-69 + 11x) -82 + 12x + -69 + 11x = 0 Reorder the terms: -82 + -69 + 12x + 11x = 0 Combine like terms: -82 + -69 = -151 -151 + 12x + 11x = 0 Combine like terms: 12x + 11x = 23x -151 + 23x = 0 Solving -151 + 23x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '151' to each side of the equation. -151 + 151 + 23x = 0 + 151 Combine like terms: -151 + 151 = 0 0 + 23x = 0 + 151 23x = 0 + 151 Combine like terms: 0 + 151 = 151 23x = 151 Divide each side by '23'. x = 6.565217391 Simplifying x = 6.565217391
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