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Simplifying 6x + -1[x + (3x + 1) + -8] = 5 Reorder the terms: 6x + -1[x + (1 + 3x) + -8] = 5 Remove parenthesis around (1 + 3x) 6x + -1[x + 1 + 3x + -8] = 5 Reorder the terms: 6x + -1[1 + -8 + x + 3x] = 5 Combine like terms: 1 + -8 = -7 6x + -1[-7 + x + 3x] = 5 Combine like terms: x + 3x = 4x 6x + -1[-7 + 4x] = 5 6x + [-7 * -1 + 4x * -1] = 5 6x + [7 + -4x] = 5 Reorder the terms: 7 + 6x + -4x = 5 Combine like terms: 6x + -4x = 2x 7 + 2x = 5 Solving 7 + 2x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2x = 5 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 5 + -7 2x = 5 + -7 Combine like terms: 5 + -7 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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