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Simplifying 0.5x + 0.1(c + 20) = 3.2 Reorder the terms: 0.5x + 0.1(20 + c) = 3.2 0.5x + (20 * 0.1 + c * 0.1) = 3.2 0.5x + (2 + 0.1c) = 3.2 Reorder the terms: 2 + 0.1c + 0.5x = 3.2 Solving 2 + 0.1c + 0.5x = 3.2 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 0.1c + -2 + 0.5x = 3.2 + -2 Reorder the terms: 2 + -2 + 0.1c + 0.5x = 3.2 + -2 Combine like terms: 2 + -2 = 0 0 + 0.1c + 0.5x = 3.2 + -2 0.1c + 0.5x = 3.2 + -2 Combine like terms: 3.2 + -2 = 1.2 0.1c + 0.5x = 1.2 Add '-0.5x' to each side of the equation. 0.1c + 0.5x + -0.5x = 1.2 + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 0.1c + 0.0 = 1.2 + -0.5x 0.1c = 1.2 + -0.5x Divide each side by '0.1'. c = 12 + -5x Simplifying c = 12 + -5x
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