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Simplifying 8x + -2[20 + -3(x + -4)] = 0 Reorder the terms: 8x + -2[20 + -3(-4 + x)] = 0 8x + -2[20 + (-4 * -3 + x * -3)] = 0 8x + -2[20 + (12 + -3x)] = 0 Combine like terms: 20 + 12 = 32 8x + -2[32 + -3x] = 0 8x + [32 * -2 + -3x * -2] = 0 8x + [-64 + 6x] = 0 Reorder the terms: -64 + 8x + 6x = 0 Combine like terms: 8x + 6x = 14x -64 + 14x = 0 Solving -64 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + 14x = 0 + 64 Combine like terms: -64 + 64 = 0 0 + 14x = 0 + 64 14x = 0 + 64 Combine like terms: 0 + 64 = 64 14x = 64 Divide each side by '14'. x = 4.571428571 Simplifying x = 4.571428571
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