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