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Simplifying -13 + -1[3(x + 2) + 4] = 11 + -1[6(-2x + -2) + -1] Reorder the terms: -13 + -1[3(2 + x) + 4] = 11 + -1[6(-2x + -2) + -1] -13 + -1[(2 * 3 + x * 3) + 4] = 11 + -1[6(-2x + -2) + -1] -13 + -1[(6 + 3x) + 4] = 11 + -1[6(-2x + -2) + -1] Reorder the terms: -13 + -1[6 + 4 + 3x] = 11 + -1[6(-2x + -2) + -1] Combine like terms: 6 + 4 = 10 -13 + -1[10 + 3x] = 11 + -1[6(-2x + -2) + -1] -13 + [10 * -1 + 3x * -1] = 11 + -1[6(-2x + -2) + -1] -13 + [-10 + -3x] = 11 + -1[6(-2x + -2) + -1] Combine like terms: -13 + -10 = -23 -23 + -3x = 11 + -1[6(-2x + -2) + -1] Reorder the terms: -23 + -3x = 11 + -1[6(-2 + -2x) + -1] -23 + -3x = 11 + -1[(-2 * 6 + -2x * 6) + -1] -23 + -3x = 11 + -1[(-12 + -12x) + -1] Reorder the terms: -23 + -3x = 11 + -1[-12 + -1 + -12x] Combine like terms: -12 + -1 = -13 -23 + -3x = 11 + -1[-13 + -12x] -23 + -3x = 11 + [-13 * -1 + -12x * -1] -23 + -3x = 11 + [13 + 12x] Combine like terms: 11 + 13 = 24 -23 + -3x = 24 + 12x Solving -23 + -3x = 24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -23 + -3x + -12x = 24 + 12x + -12x Combine like terms: -3x + -12x = -15x -23 + -15x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 -23 + -15x = 24 + 0 -23 + -15x = 24 Add '23' to each side of the equation. -23 + 23 + -15x = 24 + 23 Combine like terms: -23 + 23 = 0 0 + -15x = 24 + 23 -15x = 24 + 23 Combine like terms: 24 + 23 = 47 -15x = 47 Divide each side by '-15'. x = -3.133333333 Simplifying x = -3.133333333
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