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Simplifying 13x + 9 = 2.5x + 18 Reorder the terms: 9 + 13x = 2.5x + 18 Reorder the terms: 9 + 13x = 18 + 2.5x Solving 9 + 13x = 18 + 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 + 13x + -2.5x = 18 + 2.5x + -2.5x Combine like terms: 13x + -2.5x = 10.5x 9 + 10.5x = 18 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 9 + 10.5x = 18 + 0.0 9 + 10.5x = 18 Add '-9' to each side of the equation. 9 + -9 + 10.5x = 18 + -9 Combine like terms: 9 + -9 = 0 0 + 10.5x = 18 + -9 10.5x = 18 + -9 Combine like terms: 18 + -9 = 9 10.5x = 9 Divide each side by '10.5'. x = 0.8571428571 Simplifying x = 0.8571428571
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