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Simplifying 2x + -1(3x + -1(9x + 1) + -8) = 12x + -1(9 + -1(3x + -1(5 + -2x) + -10) + 18x) Reorder the terms: 2x + -1(3x + -1(1 + 9x) + -8) = 12x + -1(9 + -1(3x + -1(5 + -2x) + -10) + 18x) 2x + -1(3x + (1 * -1 + 9x * -1) + -8) = 12x + -1(9 + -1(3x + -1(5 + -2x) + -10) + 18x) 2x + -1(3x + (-1 + -9x) + -8) = 12x + -1(9 + -1(3x + -1(5 + -2x) + -10) + 18x) Reorder the terms: 2x + -1(-1 + -8 + 3x + -9x) = 12x + -1(9 + -1(3x + -1(5 + -2x) + -10) + 18x) Combine like terms: -1 + -8 = -9 2x + -1(-9 + 3x + -9x) = 12x + -1(9 + -1(3x + -1(5 + -2x) + -10) + 18x) Combine like terms: 3x + -9x = -6x 2x + -1(-9 + -6x) = 12x + -1(9 + -1(3x + -1(5 + -2x) + -10) + 18x) 2x + (-9 * -1 + -6x * -1) = 12x + -1(9 + -1(3x + -1(5 + -2x) + -10) + 18x) 2x + (9 + 6x) = 12x + -1(9 + -1(3x + -1(5 + -2x) + -10) + 18x) Reorder the terms: 9 + 2x + 6x = 12x + -1(9 + -1(3x + -1(5 + -2x) + -10) + 18x) Combine like terms: 2x + 6x = 8x 9 + 8x = 12x + -1(9 + -1(3x + -1(5 + -2x) + -10) + 18x) 9 + 8x = 12x + -1(9 + -1(3x + (5 * -1 + -2x * -1) + -10) + 18x) 9 + 8x = 12x + -1(9 + -1(3x + (-5 + 2x) + -10) + 18x) Reorder the terms: 9 + 8x = 12x + -1(9 + -1(-5 + -10 + 3x + 2x) + 18x) Combine like terms: -5 + -10 = -15 9 + 8x = 12x + -1(9 + -1(-15 + 3x + 2x) + 18x) Combine like terms: 3x + 2x = 5x 9 + 8x = 12x + -1(9 + -1(-15 + 5x) + 18x) 9 + 8x = 12x + -1(9 + (-15 * -1 + 5x * -1) + 18x) 9 + 8x = 12x + -1(9 + (15 + -5x) + 18x) Combine like terms: 9 + 15 = 24 9 + 8x = 12x + -1(24 + -5x + 18x) Combine like terms: -5x + 18x = 13x 9 + 8x = 12x + -1(24 + 13x) 9 + 8x = 12x + (24 * -1 + 13x * -1) 9 + 8x = 12x + (-24 + -13x) Reorder the terms: 9 + 8x = -24 + 12x + -13x Combine like terms: 12x + -13x = -1x 9 + 8x = -24 + -1x Solving 9 + 8x = -24 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 9 + 8x + x = -24 + -1x + x Combine like terms: 8x + x = 9x 9 + 9x = -24 + -1x + x Combine like terms: -1x + x = 0 9 + 9x = -24 + 0 9 + 9x = -24 Add '-9' to each side of the equation. 9 + -9 + 9x = -24 + -9 Combine like terms: 9 + -9 = 0 0 + 9x = -24 + -9 9x = -24 + -9 Combine like terms: -24 + -9 = -33 9x = -33 Divide each side by '9'. x = -3.666666667 Simplifying x = -3.666666667
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