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Simplifying 2(7 + -5(1 + -1x)) + 7x = -6 + 2(6(x + 1) + -3x) 2(7 + (1 * -5 + -1x * -5)) + 7x = -6 + 2(6(x + 1) + -3x) 2(7 + (-5 + 5x)) + 7x = -6 + 2(6(x + 1) + -3x) Combine like terms: 7 + -5 = 2 2(2 + 5x) + 7x = -6 + 2(6(x + 1) + -3x) (2 * 2 + 5x * 2) + 7x = -6 + 2(6(x + 1) + -3x) (4 + 10x) + 7x = -6 + 2(6(x + 1) + -3x) Combine like terms: 10x + 7x = 17x 4 + 17x = -6 + 2(6(x + 1) + -3x) Reorder the terms: 4 + 17x = -6 + 2(6(1 + x) + -3x) 4 + 17x = -6 + 2((1 * 6 + x * 6) + -3x) 4 + 17x = -6 + 2((6 + 6x) + -3x) Combine like terms: 6x + -3x = 3x 4 + 17x = -6 + 2(6 + 3x) 4 + 17x = -6 + (6 * 2 + 3x * 2) 4 + 17x = -6 + (12 + 6x) Combine like terms: -6 + 12 = 6 4 + 17x = 6 + 6x Solving 4 + 17x = 6 + 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. 4 + 17x + -6x = 6 + 6x + -6x Combine like terms: 17x + -6x = 11x 4 + 11x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + 11x = 6 + 0 4 + 11x = 6 Add '-4' to each side of the equation. 4 + -4 + 11x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 11x = 6 + -4 11x = 6 + -4 Combine like terms: 6 + -4 = 2 11x = 2 Divide each side by '11'. x = 0.1818181818 Simplifying x = 0.1818181818
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