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Simplifying 27x + 12 = -2x + -32 Reorder the terms: 12 + 27x = -2x + -32 Reorder the terms: 12 + 27x = -32 + -2x Solving 12 + 27x = -32 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 12 + 27x + 2x = -32 + -2x + 2x Combine like terms: 27x + 2x = 29x 12 + 29x = -32 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 29x = -32 + 0 12 + 29x = -32 Add '-12' to each side of the equation. 12 + -12 + 29x = -32 + -12 Combine like terms: 12 + -12 = 0 0 + 29x = -32 + -12 29x = -32 + -12 Combine like terms: -32 + -12 = -44 29x = -44 Divide each side by '29'. x = -1.517241379 Simplifying x = -1.517241379
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