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Simplifying (5x + 27) + (13x + -45) = 180 Reorder the terms: (27 + 5x) + (13x + -45) = 180 Remove parenthesis around (27 + 5x) 27 + 5x + (13x + -45) = 180 Reorder the terms: 27 + 5x + (-45 + 13x) = 180 Remove parenthesis around (-45 + 13x) 27 + 5x + -45 + 13x = 180 Reorder the terms: 27 + -45 + 5x + 13x = 180 Combine like terms: 27 + -45 = -18 -18 + 5x + 13x = 180 Combine like terms: 5x + 13x = 18x -18 + 18x = 180 Solving -18 + 18x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 18x = 180 + 18 Combine like terms: -18 + 18 = 0 0 + 18x = 180 + 18 18x = 180 + 18 Combine like terms: 180 + 18 = 198 18x = 198 Divide each side by '18'. x = 11 Simplifying x = 11
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