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Simplifying 3[2x + 1 + -2(2x + -1)] + 4 = 2[1 + 2(3 + -1x)] Reorder the terms: 3[2x + 1 + -2(-1 + 2x)] + 4 = 2[1 + 2(3 + -1x)] 3[2x + 1 + (-1 * -2 + 2x * -2)] + 4 = 2[1 + 2(3 + -1x)] 3[2x + 1 + (2 + -4x)] + 4 = 2[1 + 2(3 + -1x)] Reorder the terms: 3[1 + 2 + 2x + -4x] + 4 = 2[1 + 2(3 + -1x)] Combine like terms: 1 + 2 = 3 3[3 + 2x + -4x] + 4 = 2[1 + 2(3 + -1x)] Combine like terms: 2x + -4x = -2x 3[3 + -2x] + 4 = 2[1 + 2(3 + -1x)] [3 * 3 + -2x * 3] + 4 = 2[1 + 2(3 + -1x)] [9 + -6x] + 4 = 2[1 + 2(3 + -1x)] Reorder the terms: 9 + 4 + -6x = 2[1 + 2(3 + -1x)] Combine like terms: 9 + 4 = 13 13 + -6x = 2[1 + 2(3 + -1x)] 13 + -6x = 2[1 + (3 * 2 + -1x * 2)] 13 + -6x = 2[1 + (6 + -2x)] Combine like terms: 1 + 6 = 7 13 + -6x = 2[7 + -2x] 13 + -6x = [7 * 2 + -2x * 2] 13 + -6x = [14 + -4x] Solving 13 + -6x = 14 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 13 + -6x + 4x = 14 + -4x + 4x Combine like terms: -6x + 4x = -2x 13 + -2x = 14 + -4x + 4x Combine like terms: -4x + 4x = 0 13 + -2x = 14 + 0 13 + -2x = 14 Add '-13' to each side of the equation. 13 + -13 + -2x = 14 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = 14 + -13 -2x = 14 + -13 Combine like terms: 14 + -13 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5
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