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Simplifying 4[2 + -1(2x + -3)] + 1 = 2(4 + -3x) Reorder the terms: 4[2 + -1(-3 + 2x)] + 1 = 2(4 + -3x) 4[2 + (-3 * -1 + 2x * -1)] + 1 = 2(4 + -3x) 4[2 + (3 + -2x)] + 1 = 2(4 + -3x) Combine like terms: 2 + 3 = 5 4[5 + -2x] + 1 = 2(4 + -3x) [5 * 4 + -2x * 4] + 1 = 2(4 + -3x) [20 + -8x] + 1 = 2(4 + -3x) Reorder the terms: 20 + 1 + -8x = 2(4 + -3x) Combine like terms: 20 + 1 = 21 21 + -8x = 2(4 + -3x) 21 + -8x = (4 * 2 + -3x * 2) 21 + -8x = (8 + -6x) Solving 21 + -8x = 8 + -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. 21 + -8x + 6x = 8 + -6x + 6x Combine like terms: -8x + 6x = -2x 21 + -2x = 8 + -6x + 6x Combine like terms: -6x + 6x = 0 21 + -2x = 8 + 0 21 + -2x = 8 Add '-21' to each side of the equation. 21 + -21 + -2x = 8 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = 8 + -21 -2x = 8 + -21 Combine like terms: 8 + -21 = -13 -2x = -13 Divide each side by '-2'. x = 6.5 Simplifying x = 6.5
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