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Simplifying 2[x + -1(3x + 2x) + 9] = 3x + -8 Combine like terms: 3x + 2x = 5x 2[x + -1(5x) + 9] = 3x + -8 Remove parenthesis around (5x) 2[x + -1 * 5x + 9] = 3x + -8 Multiply -1 * 5 2[x + -5x + 9] = 3x + -8 Reorder the terms: 2[9 + x + -5x] = 3x + -8 Combine like terms: x + -5x = -4x 2[9 + -4x] = 3x + -8 [9 * 2 + -4x * 2] = 3x + -8 [18 + -8x] = 3x + -8 Reorder the terms: 18 + -8x = -8 + 3x Solving 18 + -8x = -8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 18 + -8x + -3x = -8 + 3x + -3x Combine like terms: -8x + -3x = -11x 18 + -11x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + -11x = -8 + 0 18 + -11x = -8 Add '-18' to each side of the equation. 18 + -18 + -11x = -8 + -18 Combine like terms: 18 + -18 = 0 0 + -11x = -8 + -18 -11x = -8 + -18 Combine like terms: -8 + -18 = -26 -11x = -26 Divide each side by '-11'. x = 2.363636364 Simplifying x = 2.363636364
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