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