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Simplifying 7(18x + 36) = 2(27x + -54) Reorder the terms: 7(36 + 18x) = 2(27x + -54) (36 * 7 + 18x * 7) = 2(27x + -54) (252 + 126x) = 2(27x + -54) Reorder the terms: 252 + 126x = 2(-54 + 27x) 252 + 126x = (-54 * 2 + 27x * 2) 252 + 126x = (-108 + 54x) Solving 252 + 126x = -108 + 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. 252 + 126x + -54x = -108 + 54x + -54x Combine like terms: 126x + -54x = 72x 252 + 72x = -108 + 54x + -54x Combine like terms: 54x + -54x = 0 252 + 72x = -108 + 0 252 + 72x = -108 Add '-252' to each side of the equation. 252 + -252 + 72x = -108 + -252 Combine like terms: 252 + -252 = 0 0 + 72x = -108 + -252 72x = -108 + -252 Combine like terms: -108 + -252 = -360 72x = -360 Divide each side by '72'. x = -5 Simplifying x = -5
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