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Simplifying 4[6 + -1(-6x + -6)] = 96x + 120 Reorder the terms: 4[6 + -1(-6 + -6x)] = 96x + 120 4[6 + (-6 * -1 + -6x * -1)] = 96x + 120 4[6 + (6 + 6x)] = 96x + 120 Combine like terms: 6 + 6 = 12 4[12 + 6x] = 96x + 120 [12 * 4 + 6x * 4] = 96x + 120 [48 + 24x] = 96x + 120 Reorder the terms: 48 + 24x = 120 + 96x Solving 48 + 24x = 120 + 96x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96x' to each side of the equation. 48 + 24x + -96x = 120 + 96x + -96x Combine like terms: 24x + -96x = -72x 48 + -72x = 120 + 96x + -96x Combine like terms: 96x + -96x = 0 48 + -72x = 120 + 0 48 + -72x = 120 Add '-48' to each side of the equation. 48 + -48 + -72x = 120 + -48 Combine like terms: 48 + -48 = 0 0 + -72x = 120 + -48 -72x = 120 + -48 Combine like terms: 120 + -48 = 72 -72x = 72 Divide each side by '-72'. x = -1 Simplifying x = -1
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