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Simplifying 0.5x + 0.2(30) = 0.4(x + 20) Multiply 0.2 * 30 0.5x + 6 = 0.4(x + 20) Reorder the terms: 6 + 0.5x = 0.4(x + 20) Reorder the terms: 6 + 0.5x = 0.4(20 + x) 6 + 0.5x = (20 * 0.4 + x * 0.4) 6 + 0.5x = (8 + 0.4x) Solving 6 + 0.5x = 8 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 6 + 0.5x + -0.4x = 8 + 0.4x + -0.4x Combine like terms: 0.5x + -0.4x = 0.1x 6 + 0.1x = 8 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 6 + 0.1x = 8 + 0.0 6 + 0.1x = 8 Add '-6' to each side of the equation. 6 + -6 + 0.1x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 0.1x = 8 + -6 0.1x = 8 + -6 Combine like terms: 8 + -6 = 2 0.1x = 2 Divide each side by '0.1'. x = 20 Simplifying x = 20
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