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Simplifying 2x + 8 + -1(6x + -1[11(x + -1) + -4]) = 5(x + -3) Reorder the terms: 2x + 8 + -1(6x + -1[11(-1 + x) + -4]) = 5(x + -3) 2x + 8 + -1(6x + -1[(-1 * 11 + x * 11) + -4]) = 5(x + -3) 2x + 8 + -1(6x + -1[(-11 + 11x) + -4]) = 5(x + -3) Reorder the terms: 2x + 8 + -1(6x + -1[-11 + -4 + 11x]) = 5(x + -3) Combine like terms: -11 + -4 = -15 2x + 8 + -1(6x + -1[-15 + 11x]) = 5(x + -3) 2x + 8 + -1(6x + [-15 * -1 + 11x * -1]) = 5(x + -3) 2x + 8 + -1(6x + [15 + -11x]) = 5(x + -3) Reorder the terms: 2x + 8 + -1(15 + 6x + -11x) = 5(x + -3) Combine like terms: 6x + -11x = -5x 2x + 8 + -1(15 + -5x) = 5(x + -3) 2x + 8 + (15 * -1 + -5x * -1) = 5(x + -3) 2x + 8 + (-15 + 5x) = 5(x + -3) Reorder the terms: 8 + -15 + 2x + 5x = 5(x + -3) Combine like terms: 8 + -15 = -7 -7 + 2x + 5x = 5(x + -3) Combine like terms: 2x + 5x = 7x -7 + 7x = 5(x + -3) Reorder the terms: -7 + 7x = 5(-3 + x) -7 + 7x = (-3 * 5 + x * 5) -7 + 7x = (-15 + 5x) Solving -7 + 7x = -15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7 + 7x + -5x = -15 + 5x + -5x Combine like terms: 7x + -5x = 2x -7 + 2x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 2x = -15 + 0 -7 + 2x = -15 Add '7' to each side of the equation. -7 + 7 + 2x = -15 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = -15 + 7 2x = -15 + 7 Combine like terms: -15 + 7 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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