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Simplifying 0.25x + 0.1(x + 5) = 2.25 Reorder the terms: 0.25x + 0.1(5 + x) = 2.25 0.25x + (5 * 0.1 + x * 0.1) = 2.25 0.25x + (0.5 + 0.1x) = 2.25 Reorder the terms: 0.5 + 0.25x + 0.1x = 2.25 Combine like terms: 0.25x + 0.1x = 0.35x 0.5 + 0.35x = 2.25 Solving 0.5 + 0.35x = 2.25 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.35x = 2.25 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.35x = 2.25 + -0.5 0.35x = 2.25 + -0.5 Combine like terms: 2.25 + -0.5 = 1.75 0.35x = 1.75 Divide each side by '0.35'. x = 5 Simplifying x = 5
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