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Simplifying 6[2 + -1(2x + -5)] = 2(12 + -3x) Reorder the terms: 6[2 + -1(-5 + 2x)] = 2(12 + -3x) 6[2 + (-5 * -1 + 2x * -1)] = 2(12 + -3x) 6[2 + (5 + -2x)] = 2(12 + -3x) Combine like terms: 2 + 5 = 7 6[7 + -2x] = 2(12 + -3x) [7 * 6 + -2x * 6] = 2(12 + -3x) [42 + -12x] = 2(12 + -3x) 42 + -12x = (12 * 2 + -3x * 2) 42 + -12x = (24 + -6x) Solving 42 + -12x = 24 + -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. 42 + -12x + 6x = 24 + -6x + 6x Combine like terms: -12x + 6x = -6x 42 + -6x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 42 + -6x = 24 + 0 42 + -6x = 24 Add '-42' to each side of the equation. 42 + -42 + -6x = 24 + -42 Combine like terms: 42 + -42 = 0 0 + -6x = 24 + -42 -6x = 24 + -42 Combine like terms: 24 + -42 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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