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Simplifying 3.5x + 64 = 12.25 + 8x Reorder the terms: 64 + 3.5x = 12.25 + 8x Solving 64 + 3.5x = 12.25 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 64 + 3.5x + -8x = 12.25 + 8x + -8x Combine like terms: 3.5x + -8x = -4.5x 64 + -4.5x = 12.25 + 8x + -8x Combine like terms: 8x + -8x = 0 64 + -4.5x = 12.25 + 0 64 + -4.5x = 12.25 Add '-64' to each side of the equation. 64 + -64 + -4.5x = 12.25 + -64 Combine like terms: 64 + -64 = 0 0 + -4.5x = 12.25 + -64 -4.5x = 12.25 + -64 Combine like terms: 12.25 + -64 = -51.75 -4.5x = -51.75 Divide each side by '-4.5'. x = 11.5 Simplifying x = 11.5
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