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Simplifying 3[6 + -1(-4x + -4)] = 84x + 102 Reorder the terms: 3[6 + -1(-4 + -4x)] = 84x + 102 3[6 + (-4 * -1 + -4x * -1)] = 84x + 102 3[6 + (4 + 4x)] = 84x + 102 Combine like terms: 6 + 4 = 10 3[10 + 4x] = 84x + 102 [10 * 3 + 4x * 3] = 84x + 102 [30 + 12x] = 84x + 102 Reorder the terms: 30 + 12x = 102 + 84x Solving 30 + 12x = 102 + 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. 30 + 12x + -84x = 102 + 84x + -84x Combine like terms: 12x + -84x = -72x 30 + -72x = 102 + 84x + -84x Combine like terms: 84x + -84x = 0 30 + -72x = 102 + 0 30 + -72x = 102 Add '-30' to each side of the equation. 30 + -30 + -72x = 102 + -30 Combine like terms: 30 + -30 = 0 0 + -72x = 102 + -30 -72x = 102 + -30 Combine like terms: 102 + -30 = 72 -72x = 72 Divide each side by '-72'. x = -1 Simplifying x = -1
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