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Simplifying 0.25(x + 3) + 0.1x = 3.55 Reorder the terms: 0.25(3 + x) + 0.1x = 3.55 (3 * 0.25 + x * 0.25) + 0.1x = 3.55 (0.75 + 0.25x) + 0.1x = 3.55 Combine like terms: 0.25x + 0.1x = 0.35x 0.75 + 0.35x = 3.55 Solving 0.75 + 0.35x = 3.55 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + 0.35x = 3.55 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 0.35x = 3.55 + -0.75 0.35x = 3.55 + -0.75 Combine like terms: 3.55 + -0.75 = 2.8 0.35x = 2.8 Divide each side by '0.35'. x = 8 Simplifying x = 8
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