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Simplifying (12x + 32) + -1(5x + -11) = -12 Reorder the terms: (32 + 12x) + -1(5x + -11) = -12 Remove parenthesis around (32 + 12x) 32 + 12x + -1(5x + -11) = -12 Reorder the terms: 32 + 12x + -1(-11 + 5x) = -12 32 + 12x + (-11 * -1 + 5x * -1) = -12 32 + 12x + (11 + -5x) = -12 Reorder the terms: 32 + 11 + 12x + -5x = -12 Combine like terms: 32 + 11 = 43 43 + 12x + -5x = -12 Combine like terms: 12x + -5x = 7x 43 + 7x = -12 Solving 43 + 7x = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 7x = -12 + -43 Combine like terms: 43 + -43 = 0 0 + 7x = -12 + -43 7x = -12 + -43 Combine like terms: -12 + -43 = -55 7x = -55 Divide each side by '7'. x = -7.857142857 Simplifying x = -7.857142857
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