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Simplifying 6.5x + 22 = 4.5x + 8 Reorder the terms: 22 + 6.5x = 4.5x + 8 Reorder the terms: 22 + 6.5x = 8 + 4.5x Solving 22 + 6.5x = 8 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. 22 + 6.5x + -4.5x = 8 + 4.5x + -4.5x Combine like terms: 6.5x + -4.5x = 2x 22 + 2x = 8 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 22 + 2x = 8 + 0.0 22 + 2x = 8 Add '-22' to each side of the equation. 22 + -22 + 2x = 8 + -22 Combine like terms: 22 + -22 = 0 0 + 2x = 8 + -22 2x = 8 + -22 Combine like terms: 8 + -22 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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