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Simplifying 0.25(12 + x) = 0.6 + 0.35x (12 * 0.25 + x * 0.25) = 0.6 + 0.35x (3 + 0.25x) = 0.6 + 0.35x Solving 3 + 0.25x = 0.6 + 0.35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.35x' to each side of the equation. 3 + 0.25x + -0.35x = 0.6 + 0.35x + -0.35x Combine like terms: 0.25x + -0.35x = -0.1x 3 + -0.1x = 0.6 + 0.35x + -0.35x Combine like terms: 0.35x + -0.35x = 0.00 3 + -0.1x = 0.6 + 0.00 3 + -0.1x = 0.6 Add '-3' to each side of the equation. 3 + -3 + -0.1x = 0.6 + -3 Combine like terms: 3 + -3 = 0 0 + -0.1x = 0.6 + -3 -0.1x = 0.6 + -3 Combine like terms: 0.6 + -3 = -2.4 -0.1x = -2.4 Divide each side by '-0.1'. x = 24 Simplifying x = 24
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