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Simplifying -2[2x + 3 + 2(x + 1)] = -3x + 6 Reorder the terms: -2[2x + 3 + 2(1 + x)] = -3x + 6 -2[2x + 3 + (1 * 2 + x * 2)] = -3x + 6 -2[2x + 3 + (2 + 2x)] = -3x + 6 Reorder the terms: -2[3 + 2 + 2x + 2x] = -3x + 6 Combine like terms: 3 + 2 = 5 -2[5 + 2x + 2x] = -3x + 6 Combine like terms: 2x + 2x = 4x -2[5 + 4x] = -3x + 6 [5 * -2 + 4x * -2] = -3x + 6 [-10 + -8x] = -3x + 6 Reorder the terms: -10 + -8x = 6 + -3x Solving -10 + -8x = 6 + -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. -10 + -8x + 3x = 6 + -3x + 3x Combine like terms: -8x + 3x = -5x -10 + -5x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + -5x = 6 + 0 -10 + -5x = 6 Add '10' to each side of the equation. -10 + 10 + -5x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + -5x = 6 + 10 -5x = 6 + 10 Combine like terms: 6 + 10 = 16 -5x = 16 Divide each side by '-5'. x = -3.2 Simplifying x = -3.2
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