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Simplifying 2[x + -1(3 + 2x) + 9] = 3x + -8 2[x + (3 * -1 + 2x * -1) + 9] = 3x + -8 2[x + (-3 + -2x) + 9] = 3x + -8 Reorder the terms: 2[-3 + 9 + x + -2x] = 3x + -8 Combine like terms: -3 + 9 = 6 2[6 + x + -2x] = 3x + -8 Combine like terms: x + -2x = -1x 2[6 + -1x] = 3x + -8 [6 * 2 + -1x * 2] = 3x + -8 [12 + -2x] = 3x + -8 Reorder the terms: 12 + -2x = -8 + 3x Solving 12 + -2x = -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. 12 + -2x + -3x = -8 + 3x + -3x Combine like terms: -2x + -3x = -5x 12 + -5x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -5x = -8 + 0 12 + -5x = -8 Add '-12' to each side of the equation. 12 + -12 + -5x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = -8 + -12 -5x = -8 + -12 Combine like terms: -8 + -12 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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