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Simplifying 0 = 6 + -2[3(x + 1) + -5] Reorder the terms: 0 = 6 + -2[3(1 + x) + -5] 0 = 6 + -2[(1 * 3 + x * 3) + -5] 0 = 6 + -2[(3 + 3x) + -5] Reorder the terms: 0 = 6 + -2[3 + -5 + 3x] Combine like terms: 3 + -5 = -2 0 = 6 + -2[-2 + 3x] 0 = 6 + [-2 * -2 + 3x * -2] 0 = 6 + [4 + -6x] Combine like terms: 6 + 4 = 10 0 = 10 + -6x Solving 0 = 10 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 0 + 6x = 10 + -6x + 6x Remove the zero: 6x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 6x = 10 + 0 6x = 10 Divide each side by '6'. x = 1.666666667 Simplifying x = 1.666666667
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