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Simplifying 0.6x + 0.4(10) = 0.5(x + 20) Multiply 0.4 * 10 0.6x + 4 = 0.5(x + 20) Reorder the terms: 4 + 0.6x = 0.5(x + 20) Reorder the terms: 4 + 0.6x = 0.5(20 + x) 4 + 0.6x = (20 * 0.5 + x * 0.5) 4 + 0.6x = (10 + 0.5x) Solving 4 + 0.6x = 10 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 4 + 0.6x + -0.5x = 10 + 0.5x + -0.5x Combine like terms: 0.6x + -0.5x = 0.1x 4 + 0.1x = 10 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 4 + 0.1x = 10 + 0.0 4 + 0.1x = 10 Add '-4' to each side of the equation. 4 + -4 + 0.1x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 0.1x = 10 + -4 0.1x = 10 + -4 Combine like terms: 10 + -4 = 6 0.1x = 6 Divide each side by '0.1'. x = 60 Simplifying x = 60
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