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Simplifying 7 + -1[4 + (x + -3)] = 11(x + 2) Reorder the terms: 7 + -1[4 + (-3 + x)] = 11(x + 2) Remove parenthesis around (-3 + x) 7 + -1[4 + -3 + x] = 11(x + 2) Combine like terms: 4 + -3 = 1 7 + -1[1 + x] = 11(x + 2) 7 + [1 * -1 + x * -1] = 11(x + 2) 7 + [-1 + -1x] = 11(x + 2) Combine like terms: 7 + -1 = 6 6 + -1x = 11(x + 2) Reorder the terms: 6 + -1x = 11(2 + x) 6 + -1x = (2 * 11 + x * 11) 6 + -1x = (22 + 11x) Solving 6 + -1x = 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. 6 + -1x + -11x = 22 + 11x + -11x Combine like terms: -1x + -11x = -12x 6 + -12x = 22 + 11x + -11x Combine like terms: 11x + -11x = 0 6 + -12x = 22 + 0 6 + -12x = 22 Add '-6' to each side of the equation. 6 + -6 + -12x = 22 + -6 Combine like terms: 6 + -6 = 0 0 + -12x = 22 + -6 -12x = 22 + -6 Combine like terms: 22 + -6 = 16 -12x = 16 Divide each side by '-12'. x = -1.333333333 Simplifying x = -1.333333333
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