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Simplifying a + -2[b + -3(c + -1x)] = 6 a + -2[b + (c * -3 + -1x * -3)] = 6 a + -2[b + (-3c + 3x)] = 6 a + [b * -2 + -3c * -2 + 3x * -2] = 6 a + [-2b + 6c + -6x] = 6 Solving a + -2b + 6c + -6x = 6 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2b' to each side of the equation. a + -2b + 6c + 2b + -6x = 6 + 2b Reorder the terms: a + -2b + 2b + 6c + -6x = 6 + 2b Combine like terms: -2b + 2b = 0 a + 0 + 6c + -6x = 6 + 2b a + 6c + -6x = 6 + 2b Add '-6c' to each side of the equation. a + 6c + -6c + -6x = 6 + 2b + -6c Combine like terms: 6c + -6c = 0 a + 0 + -6x = 6 + 2b + -6c a + -6x = 6 + 2b + -6c Add '6x' to each side of the equation. a + -6x + 6x = 6 + 2b + -6c + 6x Combine like terms: -6x + 6x = 0 a + 0 = 6 + 2b + -6c + 6x a = 6 + 2b + -6c + 6x Simplifying a = 6 + 2b + -6c + 6x
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