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Simplifying 2.5x + 9 = 7x + 5 Reorder the terms: 9 + 2.5x = 7x + 5 Reorder the terms: 9 + 2.5x = 5 + 7x Solving 9 + 2.5x = 5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 9 + 2.5x + -7x = 5 + 7x + -7x Combine like terms: 2.5x + -7x = -4.5x 9 + -4.5x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 9 + -4.5x = 5 + 0 9 + -4.5x = 5 Add '-9' to each side of the equation. 9 + -9 + -4.5x = 5 + -9 Combine like terms: 9 + -9 = 0 0 + -4.5x = 5 + -9 -4.5x = 5 + -9 Combine like terms: 5 + -9 = -4 -4.5x = -4 Divide each side by '-4.5'. x = 0.8888888889 Simplifying x = 0.8888888889
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