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Simplifying 0.3x + 0.5(10) = 0.1(x + 20) Multiply 0.5 * 10 0.3x + 5 = 0.1(x + 20) Reorder the terms: 5 + 0.3x = 0.1(x + 20) Reorder the terms: 5 + 0.3x = 0.1(20 + x) 5 + 0.3x = (20 * 0.1 + x * 0.1) 5 + 0.3x = (2 + 0.1x) Solving 5 + 0.3x = 2 + 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. 5 + 0.3x + -0.1x = 2 + 0.1x + -0.1x Combine like terms: 0.3x + -0.1x = 0.2x 5 + 0.2x = 2 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 5 + 0.2x = 2 + 0.0 5 + 0.2x = 2 Add '-5' to each side of the equation. 5 + -5 + 0.2x = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 0.2x = 2 + -5 0.2x = 2 + -5 Combine like terms: 2 + -5 = -3 0.2x = -3 Divide each side by '0.2'. x = -15 Simplifying x = -15
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