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Simplifying 3x + 10 + -1(6x + -1(11(x + -1) + -4)) = 5x + -20 Reorder the terms: 3x + 10 + -1(6x + -1(11(-1 + x) + -4)) = 5x + -20 3x + 10 + -1(6x + -1((-1 * 11 + x * 11) + -4)) = 5x + -20 3x + 10 + -1(6x + -1((-11 + 11x) + -4)) = 5x + -20 Reorder the terms: 3x + 10 + -1(6x + -1(-11 + -4 + 11x)) = 5x + -20 Combine like terms: -11 + -4 = -15 3x + 10 + -1(6x + -1(-15 + 11x)) = 5x + -20 3x + 10 + -1(6x + (-15 * -1 + 11x * -1)) = 5x + -20 3x + 10 + -1(6x + (15 + -11x)) = 5x + -20 Reorder the terms: 3x + 10 + -1(15 + 6x + -11x) = 5x + -20 Combine like terms: 6x + -11x = -5x 3x + 10 + -1(15 + -5x) = 5x + -20 3x + 10 + (15 * -1 + -5x * -1) = 5x + -20 3x + 10 + (-15 + 5x) = 5x + -20 Reorder the terms: 10 + -15 + 3x + 5x = 5x + -20 Combine like terms: 10 + -15 = -5 -5 + 3x + 5x = 5x + -20 Combine like terms: 3x + 5x = 8x -5 + 8x = 5x + -20 Reorder the terms: -5 + 8x = -20 + 5x Solving -5 + 8x = -20 + 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. -5 + 8x + -5x = -20 + 5x + -5x Combine like terms: 8x + -5x = 3x -5 + 3x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + 3x = -20 + 0 -5 + 3x = -20 Add '5' to each side of the equation. -5 + 5 + 3x = -20 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = -20 + 5 3x = -20 + 5 Combine like terms: -20 + 5 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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