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Simplifying 4[2x + -1] = 3[2x + 1] Reorder the terms: 4[-1 + 2x] = 3[2x + 1] [-1 * 4 + 2x * 4] = 3[2x + 1] [-4 + 8x] = 3[2x + 1] Reorder the terms: -4 + 8x = 3[1 + 2x] -4 + 8x = [1 * 3 + 2x * 3] -4 + 8x = [3 + 6x] Solving -4 + 8x = 3 + 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. -4 + 8x + -6x = 3 + 6x + -6x Combine like terms: 8x + -6x = 2x -4 + 2x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + 2x = 3 + 0 -4 + 2x = 3 Add '4' to each side of the equation. -4 + 4 + 2x = 3 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 3 + 4 2x = 3 + 4 Combine like terms: 3 + 4 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5
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