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Simplifying 0.2(60) + 0.05x = 0.1(6 + x) Multiply 0.2 * 60 12 + 0.05x = 0.1(6 + x) 12 + 0.05x = (6 * 0.1 + x * 0.1) 12 + 0.05x = (0.6 + 0.1x) Solving 12 + 0.05x = 0.6 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 12 + 0.05x + -0.1x = 0.6 + 0.1x + -0.1x Combine like terms: 0.05x + -0.1x = -0.05x 12 + -0.05x = 0.6 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 12 + -0.05x = 0.6 + 0.0 12 + -0.05x = 0.6 Add '-12' to each side of the equation. 12 + -12 + -0.05x = 0.6 + -12 Combine like terms: 12 + -12 = 0 0 + -0.05x = 0.6 + -12 -0.05x = 0.6 + -12 Combine like terms: 0.6 + -12 = -11.4 -0.05x = -11.4 Divide each side by '-0.05'. x = 228 Simplifying x = 228
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