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Simplifying 9[4 + -1(-4x + -8)] = 144x + 324 Reorder the terms: 9[4 + -1(-8 + -4x)] = 144x + 324 9[4 + (-8 * -1 + -4x * -1)] = 144x + 324 9[4 + (8 + 4x)] = 144x + 324 Combine like terms: 4 + 8 = 12 9[12 + 4x] = 144x + 324 [12 * 9 + 4x * 9] = 144x + 324 [108 + 36x] = 144x + 324 Reorder the terms: 108 + 36x = 324 + 144x Solving 108 + 36x = 324 + 144x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-144x' to each side of the equation. 108 + 36x + -144x = 324 + 144x + -144x Combine like terms: 36x + -144x = -108x 108 + -108x = 324 + 144x + -144x Combine like terms: 144x + -144x = 0 108 + -108x = 324 + 0 108 + -108x = 324 Add '-108' to each side of the equation. 108 + -108 + -108x = 324 + -108 Combine like terms: 108 + -108 = 0 0 + -108x = 324 + -108 -108x = 324 + -108 Combine like terms: 324 + -108 = 216 -108x = 216 Divide each side by '-108'. x = -2 Simplifying x = -2
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