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Simplifying 6[2 + -1(2x + -2)] = 2(6 + -3x) Reorder the terms: 6[2 + -1(-2 + 2x)] = 2(6 + -3x) 6[2 + (-2 * -1 + 2x * -1)] = 2(6 + -3x) 6[2 + (2 + -2x)] = 2(6 + -3x) Combine like terms: 2 + 2 = 4 6[4 + -2x] = 2(6 + -3x) [4 * 6 + -2x * 6] = 2(6 + -3x) [24 + -12x] = 2(6 + -3x) 24 + -12x = (6 * 2 + -3x * 2) 24 + -12x = (12 + -6x) Solving 24 + -12x = 12 + -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. 24 + -12x + 6x = 12 + -6x + 6x Combine like terms: -12x + 6x = -6x 24 + -6x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 24 + -6x = 12 + 0 24 + -6x = 12 Add '-24' to each side of the equation. 24 + -24 + -6x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -6x = 12 + -24 -6x = 12 + -24 Combine like terms: 12 + -24 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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