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Simplifying (2x + -6) + -1(-9x + -1) = 182 Reorder the terms: (-6 + 2x) + -1(-9x + -1) = 182 Remove parenthesis around (-6 + 2x) -6 + 2x + -1(-9x + -1) = 182 Reorder the terms: -6 + 2x + -1(-1 + -9x) = 182 -6 + 2x + (-1 * -1 + -9x * -1) = 182 -6 + 2x + (1 + 9x) = 182 Reorder the terms: -6 + 1 + 2x + 9x = 182 Combine like terms: -6 + 1 = -5 -5 + 2x + 9x = 182 Combine like terms: 2x + 9x = 11x -5 + 11x = 182 Solving -5 + 11x = 182 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 11x = 182 + 5 Combine like terms: -5 + 5 = 0 0 + 11x = 182 + 5 11x = 182 + 5 Combine like terms: 182 + 5 = 187 11x = 187 Divide each side by '11'. x = 17 Simplifying x = 17
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