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Simplifying 0.3(12 + x) = 0.6 + 0.35x (12 * 0.3 + x * 0.3) = 0.6 + 0.35x (3.6 + 0.3x) = 0.6 + 0.35x Solving 3.6 + 0.3x = 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. 3.6 + 0.3x + -0.35x = 0.6 + 0.35x + -0.35x Combine like terms: 0.3x + -0.35x = -0.05x 3.6 + -0.05x = 0.6 + 0.35x + -0.35x Combine like terms: 0.35x + -0.35x = 0.00 3.6 + -0.05x = 0.6 + 0.00 3.6 + -0.05x = 0.6 Add '-3.6' to each side of the equation. 3.6 + -3.6 + -0.05x = 0.6 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + -0.05x = 0.6 + -3.6 -0.05x = 0.6 + -3.6 Combine like terms: 0.6 + -3.6 = -3 -0.05x = -3 Divide each side by '-0.05'. x = 60 Simplifying x = 60
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