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Simplifying 4[2 + -1(2x + -4)] = 2(10 + -3x) Reorder the terms: 4[2 + -1(-4 + 2x)] = 2(10 + -3x) 4[2 + (-4 * -1 + 2x * -1)] = 2(10 + -3x) 4[2 + (4 + -2x)] = 2(10 + -3x) Combine like terms: 2 + 4 = 6 4[6 + -2x] = 2(10 + -3x) [6 * 4 + -2x * 4] = 2(10 + -3x) [24 + -8x] = 2(10 + -3x) 24 + -8x = (10 * 2 + -3x * 2) 24 + -8x = (20 + -6x) Solving 24 + -8x = 20 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 24 + -8x + 6x = 20 + -6x + 6x Combine like terms: -8x + 6x = -2x 24 + -2x = 20 + -6x + 6x Combine like terms: -6x + 6x = 0 24 + -2x = 20 + 0 24 + -2x = 20 Add '-24' to each side of the equation. 24 + -24 + -2x = 20 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = 20 + -24 -2x = 20 + -24 Combine like terms: 20 + -24 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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