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Simplifying -0.4(20) + 0.5x = 0.3(20 + x) Multiply -0.4 * 20 -8 + 0.5x = 0.3(20 + x) -8 + 0.5x = (20 * 0.3 + x * 0.3) -8 + 0.5x = (6 + 0.3x) Solving -8 + 0.5x = 6 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. -8 + 0.5x + -0.3x = 6 + 0.3x + -0.3x Combine like terms: 0.5x + -0.3x = 0.2x -8 + 0.2x = 6 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -8 + 0.2x = 6 + 0.0 -8 + 0.2x = 6 Add '8' to each side of the equation. -8 + 8 + 0.2x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 0.2x = 6 + 8 0.2x = 6 + 8 Combine like terms: 6 + 8 = 14 0.2x = 14 Divide each side by '0.2'. x = 70 Simplifying x = 70
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