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Simplifying 3x + 2[4 + -5(2x + 1)] = 0 Reorder the terms: 3x + 2[4 + -5(1 + 2x)] = 0 3x + 2[4 + (1 * -5 + 2x * -5)] = 0 3x + 2[4 + (-5 + -10x)] = 0 Combine like terms: 4 + -5 = -1 3x + 2[-1 + -10x] = 0 3x + [-1 * 2 + -10x * 2] = 0 3x + [-2 + -20x] = 0 Reorder the terms: -2 + 3x + -20x = 0 Combine like terms: 3x + -20x = -17x -2 + -17x = 0 Solving -2 + -17x = 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 + -17x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -17x = 0 + 2 -17x = 0 + 2 Combine like terms: 0 + 2 = 2 -17x = 2 Divide each side by '-17'. x = -0.1176470588 Simplifying x = -0.1176470588
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