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