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