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Simplifying 4[6 + -1(-3x + -6)] = 84x + 192 Reorder the terms: 4[6 + -1(-6 + -3x)] = 84x + 192 4[6 + (-6 * -1 + -3x * -1)] = 84x + 192 4[6 + (6 + 3x)] = 84x + 192 Combine like terms: 6 + 6 = 12 4[12 + 3x] = 84x + 192 [12 * 4 + 3x * 4] = 84x + 192 [48 + 12x] = 84x + 192 Reorder the terms: 48 + 12x = 192 + 84x Solving 48 + 12x = 192 + 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. 48 + 12x + -84x = 192 + 84x + -84x Combine like terms: 12x + -84x = -72x 48 + -72x = 192 + 84x + -84x Combine like terms: 84x + -84x = 0 48 + -72x = 192 + 0 48 + -72x = 192 Add '-48' to each side of the equation. 48 + -48 + -72x = 192 + -48 Combine like terms: 48 + -48 = 0 0 + -72x = 192 + -48 -72x = 192 + -48 Combine like terms: 192 + -48 = 144 -72x = 144 Divide each side by '-72'. x = -2 Simplifying x = -2
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