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Simplifying 4[2 + -1(2x + -3)] = 2(3 + -3x) Reorder the terms: 4[2 + -1(-3 + 2x)] = 2(3 + -3x) 4[2 + (-3 * -1 + 2x * -1)] = 2(3 + -3x) 4[2 + (3 + -2x)] = 2(3 + -3x) Combine like terms: 2 + 3 = 5 4[5 + -2x] = 2(3 + -3x) [5 * 4 + -2x * 4] = 2(3 + -3x) [20 + -8x] = 2(3 + -3x) 20 + -8x = (3 * 2 + -3x * 2) 20 + -8x = (6 + -6x) Solving 20 + -8x = 6 + -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. 20 + -8x + 6x = 6 + -6x + 6x Combine like terms: -8x + 6x = -2x 20 + -2x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 20 + -2x = 6 + 0 20 + -2x = 6 Add '-20' to each side of the equation. 20 + -20 + -2x = 6 + -20 Combine like terms: 20 + -20 = 0 0 + -2x = 6 + -20 -2x = 6 + -20 Combine like terms: 6 + -20 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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