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Simplifying 0.25x + 10 = 0.10x + 25 Reorder the terms: 10 + 0.25x = 0.10x + 25 Reorder the terms: 10 + 0.25x = 25 + 0.10x Solving 10 + 0.25x = 25 + 0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.10x' to each side of the equation. 10 + 0.25x + -0.10x = 25 + 0.10x + -0.10x Combine like terms: 0.25x + -0.10x = 0.15x 10 + 0.15x = 25 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 10 + 0.15x = 25 + 0.00 10 + 0.15x = 25 Add '-10' to each side of the equation. 10 + -10 + 0.15x = 25 + -10 Combine like terms: 10 + -10 = 0 0 + 0.15x = 25 + -10 0.15x = 25 + -10 Combine like terms: 25 + -10 = 15 0.15x = 15 Divide each side by '0.15'. x = 100 Simplifying x = 100
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