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Simplifying 0.65x + 5 = 0.45x + 10 Reorder the terms: 5 + 0.65x = 0.45x + 10 Reorder the terms: 5 + 0.65x = 10 + 0.45x Solving 5 + 0.65x = 10 + 0.45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.45x' to each side of the equation. 5 + 0.65x + -0.45x = 10 + 0.45x + -0.45x Combine like terms: 0.65x + -0.45x = 0.2x 5 + 0.2x = 10 + 0.45x + -0.45x Combine like terms: 0.45x + -0.45x = 0.00 5 + 0.2x = 10 + 0.00 5 + 0.2x = 10 Add '-5' to each side of the equation. 5 + -5 + 0.2x = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 0.2x = 10 + -5 0.2x = 10 + -5 Combine like terms: 10 + -5 = 5 0.2x = 5 Divide each side by '0.2'. x = 25 Simplifying x = 25
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