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Simplifying 6[2 + -1(2x + -3)] = 2(3 + -3x) Reorder the terms: 6[2 + -1(-3 + 2x)] = 2(3 + -3x) 6[2 + (-3 * -1 + 2x * -1)] = 2(3 + -3x) 6[2 + (3 + -2x)] = 2(3 + -3x) Combine like terms: 2 + 3 = 5 6[5 + -2x] = 2(3 + -3x) [5 * 6 + -2x * 6] = 2(3 + -3x) [30 + -12x] = 2(3 + -3x) 30 + -12x = (3 * 2 + -3x * 2) 30 + -12x = (6 + -6x) Solving 30 + -12x = 6 + -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. 30 + -12x + 6x = 6 + -6x + 6x Combine like terms: -12x + 6x = -6x 30 + -6x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 30 + -6x = 6 + 0 30 + -6x = 6 Add '-30' to each side of the equation. 30 + -30 + -6x = 6 + -30 Combine like terms: 30 + -30 = 0 0 + -6x = 6 + -30 -6x = 6 + -30 Combine like terms: 6 + -30 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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