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Simplifying 2[7 + -6(1 + -1x)] + 5x = -8 + 2[6(x + 1) + -3x] 2[7 + (1 * -6 + -1x * -6)] + 5x = -8 + 2[6(x + 1) + -3x] 2[7 + (-6 + 6x)] + 5x = -8 + 2[6(x + 1) + -3x] Combine like terms: 7 + -6 = 1 2[1 + 6x] + 5x = -8 + 2[6(x + 1) + -3x] [1 * 2 + 6x * 2] + 5x = -8 + 2[6(x + 1) + -3x] [2 + 12x] + 5x = -8 + 2[6(x + 1) + -3x] Combine like terms: 12x + 5x = 17x 2 + 17x = -8 + 2[6(x + 1) + -3x] Reorder the terms: 2 + 17x = -8 + 2[6(1 + x) + -3x] 2 + 17x = -8 + 2[(1 * 6 + x * 6) + -3x] 2 + 17x = -8 + 2[(6 + 6x) + -3x] Combine like terms: 6x + -3x = 3x 2 + 17x = -8 + 2[6 + 3x] 2 + 17x = -8 + [6 * 2 + 3x * 2] 2 + 17x = -8 + [12 + 6x] Combine like terms: -8 + 12 = 4 2 + 17x = 4 + 6x Solving 2 + 17x = 4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + 17x + -6x = 4 + 6x + -6x Combine like terms: 17x + -6x = 11x 2 + 11x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + 11x = 4 + 0 2 + 11x = 4 Add '-2' to each side of the equation. 2 + -2 + 11x = 4 + -2 Combine like terms: 2 + -2 = 0 0 + 11x = 4 + -2 11x = 4 + -2 Combine like terms: 4 + -2 = 2 11x = 2 Divide each side by '11'. x = 0.1818181818 Simplifying x = 0.1818181818
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