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Simplifying 13x + -1[6 + -3(9x + -4)] = 182 Reorder the terms: 13x + -1[6 + -3(-4 + 9x)] = 182 13x + -1[6 + (-4 * -3 + 9x * -3)] = 182 13x + -1[6 + (12 + -27x)] = 182 Combine like terms: 6 + 12 = 18 13x + -1[18 + -27x] = 182 13x + [18 * -1 + -27x * -1] = 182 13x + [-18 + 27x] = 182 Reorder the terms: -18 + 13x + 27x = 182 Combine like terms: 13x + 27x = 40x -18 + 40x = 182 Solving -18 + 40x = 182 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 40x = 182 + 18 Combine like terms: -18 + 18 = 0 0 + 40x = 182 + 18 40x = 182 + 18 Combine like terms: 182 + 18 = 200 40x = 200 Divide each side by '40'. x = 5 Simplifying x = 5
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