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Simplifying 23 + -5x + -1[-2 + 3x + -1(7x + 6) + 5] + x = 2(6x + -3) Reorder the terms: 23 + -5x + -1[-2 + 3x + -1(6 + 7x) + 5] + x = 2(6x + -3) 23 + -5x + -1[-2 + 3x + (6 * -1 + 7x * -1) + 5] + x = 2(6x + -3) 23 + -5x + -1[-2 + 3x + (-6 + -7x) + 5] + x = 2(6x + -3) Reorder the terms: 23 + -5x + -1[-2 + -6 + 5 + 3x + -7x] + x = 2(6x + -3) Combine like terms: -2 + -6 = -8 23 + -5x + -1[-8 + 5 + 3x + -7x] + x = 2(6x + -3) Combine like terms: -8 + 5 = -3 23 + -5x + -1[-3 + 3x + -7x] + x = 2(6x + -3) Combine like terms: 3x + -7x = -4x 23 + -5x + -1[-3 + -4x] + x = 2(6x + -3) 23 + -5x + [-3 * -1 + -4x * -1] + x = 2(6x + -3) 23 + -5x + [3 + 4x] + x = 2(6x + -3) Reorder the terms: 23 + 3 + -5x + 4x + x = 2(6x + -3) Combine like terms: 23 + 3 = 26 26 + -5x + 4x + x = 2(6x + -3) Combine like terms: -5x + 4x = -1x 26 + -1x + x = 2(6x + -3) Combine like terms: -1x + x = 0 26 + 0 = 2(6x + -3) 26 = 2(6x + -3) Reorder the terms: 26 = 2(-3 + 6x) 26 = (-3 * 2 + 6x * 2) 26 = (-6 + 12x) Solving 26 = -6 + 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. 26 + -12x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 26 + -12x = -6 + 0 26 + -12x = -6 Add '-26' to each side of the equation. 26 + -26 + -12x = -6 + -26 Combine like terms: 26 + -26 = 0 0 + -12x = -6 + -26 -12x = -6 + -26 Combine like terms: -6 + -26 = -32 -12x = -32 Divide each side by '-12'. x = 2.666666667 Simplifying x = 2.666666667
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