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Simplifying -1(20) + 0.8x = 0.2(20 + x) Multiply -1 * 20 -20 + 0.8x = 0.2(20 + x) -20 + 0.8x = (20 * 0.2 + x * 0.2) -20 + 0.8x = (4 + 0.2x) Solving -20 + 0.8x = 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. -20 + 0.8x + -0.2x = 4 + 0.2x + -0.2x Combine like terms: 0.8x + -0.2x = 0.6x -20 + 0.6x = 4 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -20 + 0.6x = 4 + 0.0 -20 + 0.6x = 4 Add '20' to each side of the equation. -20 + 20 + 0.6x = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 0.6x = 4 + 20 0.6x = 4 + 20 Combine like terms: 4 + 20 = 24 0.6x = 24 Divide each side by '0.6'. x = 40 Simplifying x = 40
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