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Simplifying 6 + -2[x + -3(2 + -3x) + -2] = 3x 6 + -2[x + (2 * -3 + -3x * -3) + -2] = 3x 6 + -2[x + (-6 + 9x) + -2] = 3x Reorder the terms: 6 + -2[-6 + -2 + x + 9x] = 3x Combine like terms: -6 + -2 = -8 6 + -2[-8 + x + 9x] = 3x Combine like terms: x + 9x = 10x 6 + -2[-8 + 10x] = 3x 6 + [-8 * -2 + 10x * -2] = 3x 6 + [16 + -20x] = 3x Combine like terms: 6 + 16 = 22 22 + -20x = 3x Solving 22 + -20x = 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. 22 + -20x + -3x = 3x + -3x Combine like terms: -20x + -3x = -23x 22 + -23x = 3x + -3x Combine like terms: 3x + -3x = 0 22 + -23x = 0 Add '-22' to each side of the equation. 22 + -22 + -23x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -23x = 0 + -22 -23x = 0 + -22 Combine like terms: 0 + -22 = -22 -23x = -22 Divide each side by '-23'. x = 0.9565217391 Simplifying x = 0.9565217391
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