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Simplifying (6x + 1) + (12x + 5) = 32 Reorder the terms: (1 + 6x) + (12x + 5) = 32 Remove parenthesis around (1 + 6x) 1 + 6x + (12x + 5) = 32 Reorder the terms: 1 + 6x + (5 + 12x) = 32 Remove parenthesis around (5 + 12x) 1 + 6x + 5 + 12x = 32 Reorder the terms: 1 + 5 + 6x + 12x = 32 Combine like terms: 1 + 5 = 6 6 + 6x + 12x = 32 Combine like terms: 6x + 12x = 18x 6 + 18x = 32 Solving 6 + 18x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 18x = 32 + -6 Combine like terms: 6 + -6 = 0 0 + 18x = 32 + -6 18x = 32 + -6 Combine like terms: 32 + -6 = 26 18x = 26 Divide each side by '18'. x = 1.444444444 Simplifying x = 1.444444444
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