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Simplifying (12x + -5) + (6x + 1) = 32 Reorder the terms: (-5 + 12x) + (6x + 1) = 32 Remove parenthesis around (-5 + 12x) -5 + 12x + (6x + 1) = 32 Reorder the terms: -5 + 12x + (1 + 6x) = 32 Remove parenthesis around (1 + 6x) -5 + 12x + 1 + 6x = 32 Reorder the terms: -5 + 1 + 12x + 6x = 32 Combine like terms: -5 + 1 = -4 -4 + 12x + 6x = 32 Combine like terms: 12x + 6x = 18x -4 + 18x = 32 Solving -4 + 18x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 18x = 32 + 4 Combine like terms: -4 + 4 = 0 0 + 18x = 32 + 4 18x = 32 + 4 Combine like terms: 32 + 4 = 36 18x = 36 Divide each side by '18'. x = 2 Simplifying x = 2
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