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Simplifying 7 + -1[4 + 2(x + -3)] = 11(x + 2) Reorder the terms: 7 + -1[4 + 2(-3 + x)] = 11(x + 2) 7 + -1[4 + (-3 * 2 + x * 2)] = 11(x + 2) 7 + -1[4 + (-6 + 2x)] = 11(x + 2) Combine like terms: 4 + -6 = -2 7 + -1[-2 + 2x] = 11(x + 2) 7 + [-2 * -1 + 2x * -1] = 11(x + 2) 7 + [2 + -2x] = 11(x + 2) Combine like terms: 7 + 2 = 9 9 + -2x = 11(x + 2) Reorder the terms: 9 + -2x = 11(2 + x) 9 + -2x = (2 * 11 + x * 11) 9 + -2x = (22 + 11x) Solving 9 + -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. 9 + -2x + -11x = 22 + 11x + -11x Combine like terms: -2x + -11x = -13x 9 + -13x = 22 + 11x + -11x Combine like terms: 11x + -11x = 0 9 + -13x = 22 + 0 9 + -13x = 22 Add '-9' to each side of the equation. 9 + -9 + -13x = 22 + -9 Combine like terms: 9 + -9 = 0 0 + -13x = 22 + -9 -13x = 22 + -9 Combine like terms: 22 + -9 = 13 -13x = 13 Divide each side by '-13'. x = -1 Simplifying x = -1
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