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Simplifying 0.2(20) + x = 0.3(20 + x) Multiply 0.2 * 20 4 + x = 0.3(20 + x) 4 + x = (20 * 0.3 + x * 0.3) 4 + x = (6 + 0.3x) Solving 4 + x = 6 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 4 + x + -0.3x = 6 + 0.3x + -0.3x Combine like terms: x + -0.3x = 0.7x 4 + 0.7x = 6 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 4 + 0.7x = 6 + 0.0 4 + 0.7x = 6 Add '-4' to each side of the equation. 4 + -4 + 0.7x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 0.7x = 6 + -4 0.7x = 6 + -4 Combine like terms: 6 + -4 = 2 0.7x = 2 Divide each side by '0.7'. x = 2.857142857 Simplifying x = 2.857142857
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