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Simplifying (8x + 13) + (3x + -10) + (12x + -6) = 180 Reorder the terms: (13 + 8x) + (3x + -10) + (12x + -6) = 180 Remove parenthesis around (13 + 8x) 13 + 8x + (3x + -10) + (12x + -6) = 180 Reorder the terms: 13 + 8x + (-10 + 3x) + (12x + -6) = 180 Remove parenthesis around (-10 + 3x) 13 + 8x + -10 + 3x + (12x + -6) = 180 Reorder the terms: 13 + 8x + -10 + 3x + (-6 + 12x) = 180 Remove parenthesis around (-6 + 12x) 13 + 8x + -10 + 3x + -6 + 12x = 180 Reorder the terms: 13 + -10 + -6 + 8x + 3x + 12x = 180 Combine like terms: 13 + -10 = 3 3 + -6 + 8x + 3x + 12x = 180 Combine like terms: 3 + -6 = -3 -3 + 8x + 3x + 12x = 180 Combine like terms: 8x + 3x = 11x -3 + 11x + 12x = 180 Combine like terms: 11x + 12x = 23x -3 + 23x = 180 Solving -3 + 23x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 23x = 180 + 3 Combine like terms: -3 + 3 = 0 0 + 23x = 180 + 3 23x = 180 + 3 Combine like terms: 180 + 3 = 183 23x = 183 Divide each side by '23'. x = 7.956521739 Simplifying x = 7.956521739
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