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Simplifying 0.5x + -0.2(40 + x) = 0.4(40) 0.5x + (40 * -0.2 + x * -0.2) = 0.4(40) 0.5x + (-8 + -0.2x) = 0.4(40) Reorder the terms: -8 + 0.5x + -0.2x = 0.4(40) Combine like terms: 0.5x + -0.2x = 0.3x -8 + 0.3x = 0.4(40) Multiply 0.4 * 40 -8 + 0.3x = 16 Solving -8 + 0.3x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 0.3x = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 0.3x = 16 + 8 0.3x = 16 + 8 Combine like terms: 16 + 8 = 24 0.3x = 24 Divide each side by '0.3'. x = 80 Simplifying x = 80
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