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Simplifying 5x + -2[2 + -1(3 + -4x)] = 0 5x + -2[2 + (3 * -1 + -4x * -1)] = 0 5x + -2[2 + (-3 + 4x)] = 0 Combine like terms: 2 + -3 = -1 5x + -2[-1 + 4x] = 0 5x + [-1 * -2 + 4x * -2] = 0 5x + [2 + -8x] = 0 Reorder the terms: 2 + 5x + -8x = 0 Combine like terms: 5x + -8x = -3x 2 + -3x = 0 Solving 2 + -3x = 0 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667
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