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Simplifying 0.3x + 0.2(10) = 0.1(x + 20) Multiply 0.2 * 10 0.3x + 2 = 0.1(x + 20) Reorder the terms: 2 + 0.3x = 0.1(x + 20) Reorder the terms: 2 + 0.3x = 0.1(20 + x) 2 + 0.3x = (20 * 0.1 + x * 0.1) 2 + 0.3x = (2 + 0.1x) Add '-2' to each side of the equation. 2 + -2 + 0.3x = 2 + -2 + 0.1x Combine like terms: 2 + -2 = 0 0 + 0.3x = 2 + -2 + 0.1x 0.3x = 2 + -2 + 0.1x Combine like terms: 2 + -2 = 0 0.3x = 0 + 0.1x 0.3x = 0.1x Solving 0.3x = 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. 0.3x + -0.1x = 0.1x + -0.1x Combine like terms: 0.3x + -0.1x = 0.2x 0.2x = 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 0.2x = 0.0 Divide each side by '0.2'. x = 0 Simplifying x = 0
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