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Simplifying (4x + 1) + [8 + -1(x + 6)] = 9 Reorder the terms: (1 + 4x) + [8 + -1(x + 6)] = 9 Remove parenthesis around (1 + 4x) 1 + 4x + [8 + -1(x + 6)] = 9 Reorder the terms: 1 + 4x + [8 + -1(6 + x)] = 9 1 + 4x + [8 + (6 * -1 + x * -1)] = 9 1 + 4x + [8 + (-6 + -1x)] = 9 Combine like terms: 8 + -6 = 2 1 + 4x + [2 + -1x] = 9 Remove brackets around [2 + -1x] 1 + 4x + 2 + -1x = 9 Reorder the terms: 1 + 2 + 4x + -1x = 9 Combine like terms: 1 + 2 = 3 3 + 4x + -1x = 9 Combine like terms: 4x + -1x = 3x 3 + 3x = 9 Solving 3 + 3x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 3x = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 9 + -3 3x = 9 + -3 Combine like terms: 9 + -3 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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