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Simplifying 6.5x + 5 = 4.5x + 19 Reorder the terms: 5 + 6.5x = 4.5x + 19 Reorder the terms: 5 + 6.5x = 19 + 4.5x Solving 5 + 6.5x = 19 + 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. 5 + 6.5x + -4.5x = 19 + 4.5x + -4.5x Combine like terms: 6.5x + -4.5x = 2x 5 + 2x = 19 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 5 + 2x = 19 + 0.0 5 + 2x = 19 Add '-5' to each side of the equation. 5 + -5 + 2x = 19 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 19 + -5 2x = 19 + -5 Combine like terms: 19 + -5 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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