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Simplifying -5x + 75 = 27x + 99 Reorder the terms: 75 + -5x = 27x + 99 Reorder the terms: 75 + -5x = 99 + 27x Solving 75 + -5x = 99 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 75 + -5x + -27x = 99 + 27x + -27x Combine like terms: -5x + -27x = -32x 75 + -32x = 99 + 27x + -27x Combine like terms: 27x + -27x = 0 75 + -32x = 99 + 0 75 + -32x = 99 Add '-75' to each side of the equation. 75 + -75 + -32x = 99 + -75 Combine like terms: 75 + -75 = 0 0 + -32x = 99 + -75 -32x = 99 + -75 Combine like terms: 99 + -75 = 24 -32x = 24 Divide each side by '-32'. x = -0.75 Simplifying x = -0.75
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