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Simplifying -0.4(20) + 0.4x = 0.2(20 + x) Multiply -0.4 * 20 -8 + 0.4x = 0.2(20 + x) -8 + 0.4x = (20 * 0.2 + x * 0.2) -8 + 0.4x = (4 + 0.2x) Solving -8 + 0.4x = 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. -8 + 0.4x + -0.2x = 4 + 0.2x + -0.2x Combine like terms: 0.4x + -0.2x = 0.2x -8 + 0.2x = 4 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -8 + 0.2x = 4 + 0.0 -8 + 0.2x = 4 Add '8' to each side of the equation. -8 + 8 + 0.2x = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 0.2x = 4 + 8 0.2x = 4 + 8 Combine like terms: 4 + 8 = 12 0.2x = 12 Divide each side by '0.2'. x = 60 Simplifying x = 60
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