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Simplifying (15x + 15) + (12x + -24) = 180 Reorder the terms: (15 + 15x) + (12x + -24) = 180 Remove parenthesis around (15 + 15x) 15 + 15x + (12x + -24) = 180 Reorder the terms: 15 + 15x + (-24 + 12x) = 180 Remove parenthesis around (-24 + 12x) 15 + 15x + -24 + 12x = 180 Reorder the terms: 15 + -24 + 15x + 12x = 180 Combine like terms: 15 + -24 = -9 -9 + 15x + 12x = 180 Combine like terms: 15x + 12x = 27x -9 + 27x = 180 Solving -9 + 27x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 27x = 180 + 9 Combine like terms: -9 + 9 = 0 0 + 27x = 180 + 9 27x = 180 + 9 Combine like terms: 180 + 9 = 189 27x = 189 Divide each side by '27'. x = 7 Simplifying x = 7
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