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Simplifying 0.2(12) + 0.05x = 0.1(36 + x) Multiply 0.2 * 12 2.4 + 0.05x = 0.1(36 + x) 2.4 + 0.05x = (36 * 0.1 + x * 0.1) 2.4 + 0.05x = (3.6 + 0.1x) Solving 2.4 + 0.05x = 3.6 + 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. 2.4 + 0.05x + -0.1x = 3.6 + 0.1x + -0.1x Combine like terms: 0.05x + -0.1x = -0.05x 2.4 + -0.05x = 3.6 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 2.4 + -0.05x = 3.6 + 0.0 2.4 + -0.05x = 3.6 Add '-2.4' to each side of the equation. 2.4 + -2.4 + -0.05x = 3.6 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + -0.05x = 3.6 + -2.4 -0.05x = 3.6 + -2.4 Combine like terms: 3.6 + -2.4 = 1.2 -0.05x = 1.2 Divide each side by '-0.05'. x = -24 Simplifying x = -24
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