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Simplifying 3x + -1[5x + -1(9x + 3) + -11] = 0 Reorder the terms: 3x + -1[5x + -1(3 + 9x) + -11] = 0 3x + -1[5x + (3 * -1 + 9x * -1) + -11] = 0 3x + -1[5x + (-3 + -9x) + -11] = 0 Reorder the terms: 3x + -1[-3 + -11 + 5x + -9x] = 0 Combine like terms: -3 + -11 = -14 3x + -1[-14 + 5x + -9x] = 0 Combine like terms: 5x + -9x = -4x 3x + -1[-14 + -4x] = 0 3x + [-14 * -1 + -4x * -1] = 0 3x + [14 + 4x] = 0 Reorder the terms: 14 + 3x + 4x = 0 Combine like terms: 3x + 4x = 7x 14 + 7x = 0 Solving 14 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 7x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = 0 + -14 7x = 0 + -14 Combine like terms: 0 + -14 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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