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Simplifying 6[2 + -1(2x + -4)] = 2(9 + -3x) Reorder the terms: 6[2 + -1(-4 + 2x)] = 2(9 + -3x) 6[2 + (-4 * -1 + 2x * -1)] = 2(9 + -3x) 6[2 + (4 + -2x)] = 2(9 + -3x) Combine like terms: 2 + 4 = 6 6[6 + -2x] = 2(9 + -3x) [6 * 6 + -2x * 6] = 2(9 + -3x) [36 + -12x] = 2(9 + -3x) 36 + -12x = (9 * 2 + -3x * 2) 36 + -12x = (18 + -6x) Solving 36 + -12x = 18 + -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. 36 + -12x + 6x = 18 + -6x + 6x Combine like terms: -12x + 6x = -6x 36 + -6x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 36 + -6x = 18 + 0 36 + -6x = 18 Add '-36' to each side of the equation. 36 + -36 + -6x = 18 + -36 Combine like terms: 36 + -36 = 0 0 + -6x = 18 + -36 -6x = 18 + -36 Combine like terms: 18 + -36 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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