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Simplifying 2 + -2[1 + -1(3x + -5)] = 0 Reorder the terms: 2 + -2[1 + -1(-5 + 3x)] = 0 2 + -2[1 + (-5 * -1 + 3x * -1)] = 0 2 + -2[1 + (5 + -3x)] = 0 Combine like terms: 1 + 5 = 6 2 + -2[6 + -3x] = 0 2 + [6 * -2 + -3x * -2] = 0 2 + [-12 + 6x] = 0 Combine like terms: 2 + -12 = -10 -10 + 6x = 0 Solving -10 + 6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 6x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = 0 + 10 6x = 0 + 10 Combine like terms: 0 + 10 = 10 6x = 10 Divide each side by '6'. x = 1.666666667 Simplifying x = 1.666666667
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