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