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Simplifying 3x + -1[x + -2(3 + -2x)] = -5 3x + -1[x + (3 * -2 + -2x * -2)] = -5 3x + -1[x + (-6 + 4x)] = -5 Reorder the terms: 3x + -1[-6 + x + 4x] = -5 Combine like terms: x + 4x = 5x 3x + -1[-6 + 5x] = -5 3x + [-6 * -1 + 5x * -1] = -5 3x + [6 + -5x] = -5 Reorder the terms: 6 + 3x + -5x = -5 Combine like terms: 3x + -5x = -2x 6 + -2x = -5 Solving 6 + -2x = -5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -2x = -5 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = -5 + -6 -2x = -5 + -6 Combine like terms: -5 + -6 = -11 -2x = -11 Divide each side by '-2'. x = 5.5 Simplifying x = 5.5
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