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Simplifying 7 + -1[4 + 2(3 + -1x)] = 11(x + 2) 7 + -1[4 + (3 * 2 + -1x * 2)] = 11(x + 2) 7 + -1[4 + (6 + -2x)] = 11(x + 2) Combine like terms: 4 + 6 = 10 7 + -1[10 + -2x] = 11(x + 2) 7 + [10 * -1 + -2x * -1] = 11(x + 2) 7 + [-10 + 2x] = 11(x + 2) Combine like terms: 7 + -10 = -3 -3 + 2x = 11(x + 2) Reorder the terms: -3 + 2x = 11(2 + x) -3 + 2x = (2 * 11 + x * 11) -3 + 2x = (22 + 11x) Solving -3 + 2x = 22 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -3 + 2x + -11x = 22 + 11x + -11x Combine like terms: 2x + -11x = -9x -3 + -9x = 22 + 11x + -11x Combine like terms: 11x + -11x = 0 -3 + -9x = 22 + 0 -3 + -9x = 22 Add '3' to each side of the equation. -3 + 3 + -9x = 22 + 3 Combine like terms: -3 + 3 = 0 0 + -9x = 22 + 3 -9x = 22 + 3 Combine like terms: 22 + 3 = 25 -9x = 25 Divide each side by '-9'. x = -2.777777778 Simplifying x = -2.777777778
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