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Simplifying 3[2(3x + -8) + -4(5x + -6)] = 12x + 132 Reorder the terms: 3[2(-8 + 3x) + -4(5x + -6)] = 12x + 132 3[(-8 * 2 + 3x * 2) + -4(5x + -6)] = 12x + 132 3[(-16 + 6x) + -4(5x + -6)] = 12x + 132 Reorder the terms: 3[-16 + 6x + -4(-6 + 5x)] = 12x + 132 3[-16 + 6x + (-6 * -4 + 5x * -4)] = 12x + 132 3[-16 + 6x + (24 + -20x)] = 12x + 132 Reorder the terms: 3[-16 + 24 + 6x + -20x] = 12x + 132 Combine like terms: -16 + 24 = 8 3[8 + 6x + -20x] = 12x + 132 Combine like terms: 6x + -20x = -14x 3[8 + -14x] = 12x + 132 [8 * 3 + -14x * 3] = 12x + 132 [24 + -42x] = 12x + 132 Reorder the terms: 24 + -42x = 132 + 12x Solving 24 + -42x = 132 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 24 + -42x + -12x = 132 + 12x + -12x Combine like terms: -42x + -12x = -54x 24 + -54x = 132 + 12x + -12x Combine like terms: 12x + -12x = 0 24 + -54x = 132 + 0 24 + -54x = 132 Add '-24' to each side of the equation. 24 + -24 + -54x = 132 + -24 Combine like terms: 24 + -24 = 0 0 + -54x = 132 + -24 -54x = 132 + -24 Combine like terms: 132 + -24 = 108 -54x = 108 Divide each side by '-54'. x = -2 Simplifying x = -2
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