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Simplifying 2x + 3[x + -2(4 + -2x)] = 0 2x + 3[x + (4 * -2 + -2x * -2)] = 0 2x + 3[x + (-8 + 4x)] = 0 Reorder the terms: 2x + 3[-8 + x + 4x] = 0 Combine like terms: x + 4x = 5x 2x + 3[-8 + 5x] = 0 2x + [-8 * 3 + 5x * 3] = 0 2x + [-24 + 15x] = 0 Reorder the terms: -24 + 2x + 15x = 0 Combine like terms: 2x + 15x = 17x -24 + 17x = 0 Solving -24 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 17x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 17x = 0 + 24 17x = 0 + 24 Combine like terms: 0 + 24 = 24 17x = 24 Divide each side by '17'. x = 1.411764706 Simplifying x = 1.411764706
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