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Simplifying 6[8 + -1(-2x + -8)] = 84x + 384 Reorder the terms: 6[8 + -1(-8 + -2x)] = 84x + 384 6[8 + (-8 * -1 + -2x * -1)] = 84x + 384 6[8 + (8 + 2x)] = 84x + 384 Combine like terms: 8 + 8 = 16 6[16 + 2x] = 84x + 384 [16 * 6 + 2x * 6] = 84x + 384 [96 + 12x] = 84x + 384 Reorder the terms: 96 + 12x = 384 + 84x Solving 96 + 12x = 384 + 84x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-84x' to each side of the equation. 96 + 12x + -84x = 384 + 84x + -84x Combine like terms: 12x + -84x = -72x 96 + -72x = 384 + 84x + -84x Combine like terms: 84x + -84x = 0 96 + -72x = 384 + 0 96 + -72x = 384 Add '-96' to each side of the equation. 96 + -96 + -72x = 384 + -96 Combine like terms: 96 + -96 = 0 0 + -72x = 384 + -96 -72x = 384 + -96 Combine like terms: 384 + -96 = 288 -72x = 288 Divide each side by '-72'. x = -4 Simplifying x = -4
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