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Simplifying 0.3x + 0.5(10) = 0.2(x + 20) Multiply 0.5 * 10 0.3x + 5 = 0.2(x + 20) Reorder the terms: 5 + 0.3x = 0.2(x + 20) Reorder the terms: 5 + 0.3x = 0.2(20 + x) 5 + 0.3x = (20 * 0.2 + x * 0.2) 5 + 0.3x = (4 + 0.2x) Solving 5 + 0.3x = 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. 5 + 0.3x + -0.2x = 4 + 0.2x + -0.2x Combine like terms: 0.3x + -0.2x = 0.1x 5 + 0.1x = 4 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 5 + 0.1x = 4 + 0.0 5 + 0.1x = 4 Add '-5' to each side of the equation. 5 + -5 + 0.1x = 4 + -5 Combine like terms: 5 + -5 = 0 0 + 0.1x = 4 + -5 0.1x = 4 + -5 Combine like terms: 4 + -5 = -1 0.1x = -1 Divide each side by '0.1'. x = -10 Simplifying x = -10
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