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Simplifying 5 + -5[4 + -1(6x + 2)] = 0 Reorder the terms: 5 + -5[4 + -1(2 + 6x)] = 0 5 + -5[4 + (2 * -1 + 6x * -1)] = 0 5 + -5[4 + (-2 + -6x)] = 0 Combine like terms: 4 + -2 = 2 5 + -5[2 + -6x] = 0 5 + [2 * -5 + -6x * -5] = 0 5 + [-10 + 30x] = 0 Combine like terms: 5 + -10 = -5 -5 + 30x = 0 Solving -5 + 30x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 30x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 30x = 0 + 5 30x = 0 + 5 Combine like terms: 0 + 5 = 5 30x = 5 Divide each side by '30'. x = 0.1666666667 Simplifying x = 0.1666666667
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