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Simplifying 0.2(60) + 0.05x = 0.1(64.3 + x) Multiply 0.2 * 60 12 + 0.05x = 0.1(64.3 + x) 12 + 0.05x = (64.3 * 0.1 + x * 0.1) 12 + 0.05x = (6.43 + 0.1x) Solving 12 + 0.05x = 6.43 + 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 = 6.43 + 0.1x + -0.1x Combine like terms: 0.05x + -0.1x = -0.05x 12 + -0.05x = 6.43 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 12 + -0.05x = 6.43 + 0.0 12 + -0.05x = 6.43 Add '-12' to each side of the equation. 12 + -12 + -0.05x = 6.43 + -12 Combine like terms: 12 + -12 = 0 0 + -0.05x = 6.43 + -12 -0.05x = 6.43 + -12 Combine like terms: 6.43 + -12 = -5.57 -0.05x = -5.57 Divide each side by '-0.05'. x = 111.4 Simplifying x = 111.4
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