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Simplifying 0.10x + 0.25(x + 3) = 12 Reorder the terms: 0.10x + 0.25(3 + x) = 12 0.10x + (3 * 0.25 + x * 0.25) = 12 0.10x + (0.75 + 0.25x) = 12 Reorder the terms: 0.75 + 0.10x + 0.25x = 12 Combine like terms: 0.10x + 0.25x = 0.35x 0.75 + 0.35x = 12 Solving 0.75 + 0.35x = 12 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 = 12 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 0.35x = 12 + -0.75 0.35x = 12 + -0.75 Combine like terms: 12 + -0.75 = 11.25 0.35x = 11.25 Divide each side by '0.35'. x = 32.14285714 Simplifying x = 32.14285714
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