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Simplifying 2.5x + 76.5 = 12x + -9 Reorder the terms: 76.5 + 2.5x = 12x + -9 Reorder the terms: 76.5 + 2.5x = -9 + 12x Solving 76.5 + 2.5x = -9 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 76.5 + 2.5x + -12x = -9 + 12x + -12x Combine like terms: 2.5x + -12x = -9.5x 76.5 + -9.5x = -9 + 12x + -12x Combine like terms: 12x + -12x = 0 76.5 + -9.5x = -9 + 0 76.5 + -9.5x = -9 Add '-76.5' to each side of the equation. 76.5 + -76.5 + -9.5x = -9 + -76.5 Combine like terms: 76.5 + -76.5 = 0.0 0.0 + -9.5x = -9 + -76.5 -9.5x = -9 + -76.5 Combine like terms: -9 + -76.5 = -85.5 -9.5x = -85.5 Divide each side by '-9.5'. x = 9 Simplifying x = 9
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