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Simplifying 4[1 + -1(8x + -4)] = 9(5 + -3x) Reorder the terms: 4[1 + -1(-4 + 8x)] = 9(5 + -3x) 4[1 + (-4 * -1 + 8x * -1)] = 9(5 + -3x) 4[1 + (4 + -8x)] = 9(5 + -3x) Combine like terms: 1 + 4 = 5 4[5 + -8x] = 9(5 + -3x) [5 * 4 + -8x * 4] = 9(5 + -3x) [20 + -32x] = 9(5 + -3x) 20 + -32x = (5 * 9 + -3x * 9) 20 + -32x = (45 + -27x) Solving 20 + -32x = 45 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. 20 + -32x + 27x = 45 + -27x + 27x Combine like terms: -32x + 27x = -5x 20 + -5x = 45 + -27x + 27x Combine like terms: -27x + 27x = 0 20 + -5x = 45 + 0 20 + -5x = 45 Add '-20' to each side of the equation. 20 + -20 + -5x = 45 + -20 Combine like terms: 20 + -20 = 0 0 + -5x = 45 + -20 -5x = 45 + -20 Combine like terms: 45 + -20 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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