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Simplifying 27x + 8 = -45x + -24 Reorder the terms: 8 + 27x = -45x + -24 Reorder the terms: 8 + 27x = -24 + -45x Solving 8 + 27x = -24 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. 8 + 27x + 45x = -24 + -45x + 45x Combine like terms: 27x + 45x = 72x 8 + 72x = -24 + -45x + 45x Combine like terms: -45x + 45x = 0 8 + 72x = -24 + 0 8 + 72x = -24 Add '-8' to each side of the equation. 8 + -8 + 72x = -24 + -8 Combine like terms: 8 + -8 = 0 0 + 72x = -24 + -8 72x = -24 + -8 Combine like terms: -24 + -8 = -32 72x = -32 Divide each side by '72'. x = -0.4444444444 Simplifying x = -0.4444444444
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