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Simplifying -1(20) + 0.8x = 0.4(20 + x) Multiply -1 * 20 -20 + 0.8x = 0.4(20 + x) -20 + 0.8x = (20 * 0.4 + x * 0.4) -20 + 0.8x = (8 + 0.4x) Solving -20 + 0.8x = 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. -20 + 0.8x + -0.4x = 8 + 0.4x + -0.4x Combine like terms: 0.8x + -0.4x = 0.4x -20 + 0.4x = 8 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -20 + 0.4x = 8 + 0.0 -20 + 0.4x = 8 Add '20' to each side of the equation. -20 + 20 + 0.4x = 8 + 20 Combine like terms: -20 + 20 = 0 0 + 0.4x = 8 + 20 0.4x = 8 + 20 Combine like terms: 8 + 20 = 28 0.4x = 28 Divide each side by '0.4'. x = 70 Simplifying x = 70
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