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Simplifying 3x + 8 + -1(7x + -1(9(x + -1) + -2)) = 2(x + -6) Reorder the terms: 3x + 8 + -1(7x + -1(9(-1 + x) + -2)) = 2(x + -6) 3x + 8 + -1(7x + -1((-1 * 9 + x * 9) + -2)) = 2(x + -6) 3x + 8 + -1(7x + -1((-9 + 9x) + -2)) = 2(x + -6) Reorder the terms: 3x + 8 + -1(7x + -1(-9 + -2 + 9x)) = 2(x + -6) Combine like terms: -9 + -2 = -11 3x + 8 + -1(7x + -1(-11 + 9x)) = 2(x + -6) 3x + 8 + -1(7x + (-11 * -1 + 9x * -1)) = 2(x + -6) 3x + 8 + -1(7x + (11 + -9x)) = 2(x + -6) Reorder the terms: 3x + 8 + -1(11 + 7x + -9x) = 2(x + -6) Combine like terms: 7x + -9x = -2x 3x + 8 + -1(11 + -2x) = 2(x + -6) 3x + 8 + (11 * -1 + -2x * -1) = 2(x + -6) 3x + 8 + (-11 + 2x) = 2(x + -6) Reorder the terms: 8 + -11 + 3x + 2x = 2(x + -6) Combine like terms: 8 + -11 = -3 -3 + 3x + 2x = 2(x + -6) Combine like terms: 3x + 2x = 5x -3 + 5x = 2(x + -6) Reorder the terms: -3 + 5x = 2(-6 + x) -3 + 5x = (-6 * 2 + x * 2) -3 + 5x = (-12 + 2x) Solving -3 + 5x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3 + 5x + -2x = -12 + 2x + -2x Combine like terms: 5x + -2x = 3x -3 + 3x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 3x = -12 + 0 -3 + 3x = -12 Add '3' to each side of the equation. -3 + 3 + 3x = -12 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = -12 + 3 3x = -12 + 3 Combine like terms: -12 + 3 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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