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Simplifying (x + 5) + -12(x + 5) + 32 = 0 Reorder the terms: (5 + x) + -12(x + 5) + 32 = 0 Remove parenthesis around (5 + x) 5 + x + -12(x + 5) + 32 = 0 Reorder the terms: 5 + x + -12(5 + x) + 32 = 0 5 + x + (5 * -12 + x * -12) + 32 = 0 5 + x + (-60 + -12x) + 32 = 0 Reorder the terms: 5 + -60 + 32 + x + -12x = 0 Combine like terms: 5 + -60 = -55 -55 + 32 + x + -12x = 0 Combine like terms: -55 + 32 = -23 -23 + x + -12x = 0 Combine like terms: x + -12x = -11x -23 + -11x = 0 Solving -23 + -11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -11x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -11x = 0 + 23 -11x = 0 + 23 Combine like terms: 0 + 23 = 23 -11x = 23 Divide each side by '-11'. x = -2.090909091 Simplifying x = -2.090909091
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