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Simplifying 12x + -1[12 + -5(9x + 10)] = 0 Reorder the terms: 12x + -1[12 + -5(10 + 9x)] = 0 12x + -1[12 + (10 * -5 + 9x * -5)] = 0 12x + -1[12 + (-50 + -45x)] = 0 Combine like terms: 12 + -50 = -38 12x + -1[-38 + -45x] = 0 12x + [-38 * -1 + -45x * -1] = 0 12x + [38 + 45x] = 0 Reorder the terms: 38 + 12x + 45x = 0 Combine like terms: 12x + 45x = 57x 38 + 57x = 0 Solving 38 + 57x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 57x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 57x = 0 + -38 57x = 0 + -38 Combine like terms: 0 + -38 = -38 57x = -38 Divide each side by '57'. x = -0.6666666667 Simplifying x = -0.6666666667
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