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Simplifying 6x + -1[6 + -5(3x + 6)] = 0 Reorder the terms: 6x + -1[6 + -5(6 + 3x)] = 0 6x + -1[6 + (6 * -5 + 3x * -5)] = 0 6x + -1[6 + (-30 + -15x)] = 0 Combine like terms: 6 + -30 = -24 6x + -1[-24 + -15x] = 0 6x + [-24 * -1 + -15x * -1] = 0 6x + [24 + 15x] = 0 Reorder the terms: 24 + 6x + 15x = 0 Combine like terms: 6x + 15x = 21x 24 + 21x = 0 Solving 24 + 21x = 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 + 21x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 21x = 0 + -24 21x = 0 + -24 Combine like terms: 0 + -24 = -24 21x = -24 Divide each side by '21'. x = -1.142857143 Simplifying x = -1.142857143
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