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Simplifying 3x + 4[2x + -1(5x + 9)] = 0 Reorder the terms: 3x + 4[2x + -1(9 + 5x)] = 0 3x + 4[2x + (9 * -1 + 5x * -1)] = 0 3x + 4[2x + (-9 + -5x)] = 0 Reorder the terms: 3x + 4[-9 + 2x + -5x] = 0 Combine like terms: 2x + -5x = -3x 3x + 4[-9 + -3x] = 0 3x + [-9 * 4 + -3x * 4] = 0 3x + [-36 + -12x] = 0 Reorder the terms: -36 + 3x + -12x = 0 Combine like terms: 3x + -12x = -9x -36 + -9x = 0 Solving -36 + -9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -9x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -9x = 0 + 36 -9x = 0 + 36 Combine like terms: 0 + 36 = 36 -9x = 36 Divide each side by '-9'. x = -4 Simplifying x = -4
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