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Simplifying 4[9 + -1(-6x + -9)] = 120x + 216 Reorder the terms: 4[9 + -1(-9 + -6x)] = 120x + 216 4[9 + (-9 * -1 + -6x * -1)] = 120x + 216 4[9 + (9 + 6x)] = 120x + 216 Combine like terms: 9 + 9 = 18 4[18 + 6x] = 120x + 216 [18 * 4 + 6x * 4] = 120x + 216 [72 + 24x] = 120x + 216 Reorder the terms: 72 + 24x = 216 + 120x Solving 72 + 24x = 216 + 120x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-120x' to each side of the equation. 72 + 24x + -120x = 216 + 120x + -120x Combine like terms: 24x + -120x = -96x 72 + -96x = 216 + 120x + -120x Combine like terms: 120x + -120x = 0 72 + -96x = 216 + 0 72 + -96x = 216 Add '-72' to each side of the equation. 72 + -72 + -96x = 216 + -72 Combine like terms: 72 + -72 = 0 0 + -96x = 216 + -72 -96x = 216 + -72 Combine like terms: 216 + -72 = 144 -96x = 144 Divide each side by '-96'. x = -1.5 Simplifying x = -1.5
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