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Simplifying 7 + 2[3(x + 1) + -2(3x + -1)] = 0 Reorder the terms: 7 + 2[3(1 + x) + -2(3x + -1)] = 0 7 + 2[(1 * 3 + x * 3) + -2(3x + -1)] = 0 7 + 2[(3 + 3x) + -2(3x + -1)] = 0 Reorder the terms: 7 + 2[3 + 3x + -2(-1 + 3x)] = 0 7 + 2[3 + 3x + (-1 * -2 + 3x * -2)] = 0 7 + 2[3 + 3x + (2 + -6x)] = 0 Reorder the terms: 7 + 2[3 + 2 + 3x + -6x] = 0 Combine like terms: 3 + 2 = 5 7 + 2[5 + 3x + -6x] = 0 Combine like terms: 3x + -6x = -3x 7 + 2[5 + -3x] = 0 7 + [5 * 2 + -3x * 2] = 0 7 + [10 + -6x] = 0 Combine like terms: 7 + 10 = 17 17 + -6x = 0 Solving 17 + -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -6x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -6x = 0 + -17 -6x = 0 + -17 Combine like terms: 0 + -17 = -17 -6x = -17 Divide each side by '-6'. x = 2.833333333 Simplifying x = 2.833333333
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