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Simplifying 3x + 8 = 2.5x + 12 Reorder the terms: 8 + 3x = 2.5x + 12 Reorder the terms: 8 + 3x = 12 + 2.5x Solving 8 + 3x = 12 + 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. 8 + 3x + -2.5x = 12 + 2.5x + -2.5x Combine like terms: 3x + -2.5x = 0.5x 8 + 0.5x = 12 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 8 + 0.5x = 12 + 0.0 8 + 0.5x = 12 Add '-8' to each side of the equation. 8 + -8 + 0.5x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 0.5x = 12 + -8 0.5x = 12 + -8 Combine like terms: 12 + -8 = 4 0.5x = 4 Divide each side by '0.5'. x = 8 Simplifying x = 8
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