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Simplifying (12 + -4x) + (5 + -7x) = 23 Remove parenthesis around (12 + -4x) 12 + -4x + (5 + -7x) = 23 Remove parenthesis around (5 + -7x) 12 + -4x + 5 + -7x = 23 Reorder the terms: 12 + 5 + -4x + -7x = 23 Combine like terms: 12 + 5 = 17 17 + -4x + -7x = 23 Combine like terms: -4x + -7x = -11x 17 + -11x = 23 Solving 17 + -11x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -11x = 23 + -17 Combine like terms: 17 + -17 = 0 0 + -11x = 23 + -17 -11x = 23 + -17 Combine like terms: 23 + -17 = 6 -11x = 6 Divide each side by '-11'. x = -0.5454545455 Simplifying x = -0.5454545455
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