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Simplifying 2.5 + 0.1x = 3.5 + 0.05x Solving 2.5 + 0.1x = 3.5 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. 2.5 + 0.1x + -0.05x = 3.5 + 0.05x + -0.05x Combine like terms: 0.1x + -0.05x = 0.05x 2.5 + 0.05x = 3.5 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 2.5 + 0.05x = 3.5 + 0.00 2.5 + 0.05x = 3.5 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 0.05x = 3.5 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 0.05x = 3.5 + -2.5 0.05x = 3.5 + -2.5 Combine like terms: 3.5 + -2.5 = 1 0.05x = 1 Divide each side by '0.05'. x = 20 Simplifying x = 20
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