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Simplifying 20 * 0.1 + 0.5x = 0.8(20 + x) Multiply 20 * 0.1 2 + 0.5x = 0.8(20 + x) 2 + 0.5x = (20 * 0.8 + x * 0.8) 2 + 0.5x = (16 + 0.8x) Solving 2 + 0.5x = 16 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 2 + 0.5x + -0.8x = 16 + 0.8x + -0.8x Combine like terms: 0.5x + -0.8x = -0.3x 2 + -0.3x = 16 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 2 + -0.3x = 16 + 0.0 2 + -0.3x = 16 Add '-2' to each side of the equation. 2 + -2 + -0.3x = 16 + -2 Combine like terms: 2 + -2 = 0 0 + -0.3x = 16 + -2 -0.3x = 16 + -2 Combine like terms: 16 + -2 = 14 -0.3x = 14 Divide each side by '-0.3'. x = -46.66666667 Simplifying x = -46.66666667
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