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Simplifying 0.8x + 0.4(20) = 0.5(x + 10) Multiply 0.4 * 20 0.8x + 8 = 0.5(x + 10) Reorder the terms: 8 + 0.8x = 0.5(x + 10) Reorder the terms: 8 + 0.8x = 0.5(10 + x) 8 + 0.8x = (10 * 0.5 + x * 0.5) 8 + 0.8x = (5 + 0.5x) Solving 8 + 0.8x = 5 + 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. 8 + 0.8x + -0.5x = 5 + 0.5x + -0.5x Combine like terms: 0.8x + -0.5x = 0.3x 8 + 0.3x = 5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 8 + 0.3x = 5 + 0.0 8 + 0.3x = 5 Add '-8' to each side of the equation. 8 + -8 + 0.3x = 5 + -8 Combine like terms: 8 + -8 = 0 0 + 0.3x = 5 + -8 0.3x = 5 + -8 Combine like terms: 5 + -8 = -3 0.3x = -3 Divide each side by '0.3'. x = -10 Simplifying x = -10
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