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Simplifying (13x + 45) + (12x + -40) = 99 Reorder the terms: (45 + 13x) + (12x + -40) = 99 Remove parenthesis around (45 + 13x) 45 + 13x + (12x + -40) = 99 Reorder the terms: 45 + 13x + (-40 + 12x) = 99 Remove parenthesis around (-40 + 12x) 45 + 13x + -40 + 12x = 99 Reorder the terms: 45 + -40 + 13x + 12x = 99 Combine like terms: 45 + -40 = 5 5 + 13x + 12x = 99 Combine like terms: 13x + 12x = 25x 5 + 25x = 99 Solving 5 + 25x = 99 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 25x = 99 + -5 Combine like terms: 5 + -5 = 0 0 + 25x = 99 + -5 25x = 99 + -5 Combine like terms: 99 + -5 = 94 25x = 94 Divide each side by '25'. x = 3.76 Simplifying x = 3.76
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