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Simplifying 2x + -1[3x + -2(5x + -3)] = 5 + -1[3(x + 6) + 4] Reorder the terms: 2x + -1[3x + -2(-3 + 5x)] = 5 + -1[3(x + 6) + 4] 2x + -1[3x + (-3 * -2 + 5x * -2)] = 5 + -1[3(x + 6) + 4] 2x + -1[3x + (6 + -10x)] = 5 + -1[3(x + 6) + 4] Reorder the terms: 2x + -1[6 + 3x + -10x] = 5 + -1[3(x + 6) + 4] Combine like terms: 3x + -10x = -7x 2x + -1[6 + -7x] = 5 + -1[3(x + 6) + 4] 2x + [6 * -1 + -7x * -1] = 5 + -1[3(x + 6) + 4] 2x + [-6 + 7x] = 5 + -1[3(x + 6) + 4] Reorder the terms: -6 + 2x + 7x = 5 + -1[3(x + 6) + 4] Combine like terms: 2x + 7x = 9x -6 + 9x = 5 + -1[3(x + 6) + 4] Reorder the terms: -6 + 9x = 5 + -1[3(6 + x) + 4] -6 + 9x = 5 + -1[(6 * 3 + x * 3) + 4] -6 + 9x = 5 + -1[(18 + 3x) + 4] Reorder the terms: -6 + 9x = 5 + -1[18 + 4 + 3x] Combine like terms: 18 + 4 = 22 -6 + 9x = 5 + -1[22 + 3x] -6 + 9x = 5 + [22 * -1 + 3x * -1] -6 + 9x = 5 + [-22 + -3x] Combine like terms: 5 + -22 = -17 -6 + 9x = -17 + -3x Solving -6 + 9x = -17 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -6 + 9x + 3x = -17 + -3x + 3x Combine like terms: 9x + 3x = 12x -6 + 12x = -17 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 12x = -17 + 0 -6 + 12x = -17 Add '6' to each side of the equation. -6 + 6 + 12x = -17 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = -17 + 6 12x = -17 + 6 Combine like terms: -17 + 6 = -11 12x = -11 Divide each side by '12'. x = -0.9166666667 Simplifying x = -0.9166666667
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