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Simplifying x + 0.08(20) = 0.2(20 + x) Multiply 0.08 * 20 x + 1.6 = 0.2(20 + x) Reorder the terms: 1.6 + x = 0.2(20 + x) 1.6 + x = (20 * 0.2 + x * 0.2) 1.6 + x = (4 + 0.2x) Solving 1.6 + x = 4 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 1.6 + x + -0.2x = 4 + 0.2x + -0.2x Combine like terms: x + -0.2x = 0.8x 1.6 + 0.8x = 4 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 1.6 + 0.8x = 4 + 0.0 1.6 + 0.8x = 4 Add '-1.6' to each side of the equation. 1.6 + -1.6 + 0.8x = 4 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 0.8x = 4 + -1.6 0.8x = 4 + -1.6 Combine like terms: 4 + -1.6 = 2.4 0.8x = 2.4 Divide each side by '0.8'. x = 3 Simplifying x = 3
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