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Simplifying a + -5[b + -4(c + -1x)] = 6 a + -5[b + (c * -4 + -1x * -4)] = 6 a + -5[b + (-4c + 4x)] = 6 a + [b * -5 + -4c * -5 + 4x * -5] = 6 a + [-5b + 20c + -20x] = 6 Solving a + -5b + 20c + -20x = 6 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. a + -5b + 20c + 5b + -20x = 6 + 5b Reorder the terms: a + -5b + 5b + 20c + -20x = 6 + 5b Combine like terms: -5b + 5b = 0 a + 0 + 20c + -20x = 6 + 5b a + 20c + -20x = 6 + 5b Add '-20c' to each side of the equation. a + 20c + -20c + -20x = 6 + 5b + -20c Combine like terms: 20c + -20c = 0 a + 0 + -20x = 6 + 5b + -20c a + -20x = 6 + 5b + -20c Add '20x' to each side of the equation. a + -20x + 20x = 6 + 5b + -20c + 20x Combine like terms: -20x + 20x = 0 a + 0 = 6 + 5b + -20c + 20x a = 6 + 5b + -20c + 20x Simplifying a = 6 + 5b + -20c + 20x
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