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Simplifying (2x + 12) + (7x + 6) = 121.5 Reorder the terms: (12 + 2x) + (7x + 6) = 121.5 Remove parenthesis around (12 + 2x) 12 + 2x + (7x + 6) = 121.5 Reorder the terms: 12 + 2x + (6 + 7x) = 121.5 Remove parenthesis around (6 + 7x) 12 + 2x + 6 + 7x = 121.5 Reorder the terms: 12 + 6 + 2x + 7x = 121.5 Combine like terms: 12 + 6 = 18 18 + 2x + 7x = 121.5 Combine like terms: 2x + 7x = 9x 18 + 9x = 121.5 Solving 18 + 9x = 121.5 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 + 9x = 121.5 + -18 Combine like terms: 18 + -18 = 0 0 + 9x = 121.5 + -18 9x = 121.5 + -18 Combine like terms: 121.5 + -18 = 103.5 9x = 103.5 Divide each side by '9'. x = 11.5 Simplifying x = 11.5
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