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Simplifying 0.60x + -0.20(40 + x) = 0.30(40) 0.60x + (40 * -0.20 + x * -0.20) = 0.30(40) 0.60x + (-8 + -0.20x) = 0.30(40) Reorder the terms: -8 + 0.60x + -0.20x = 0.30(40) Combine like terms: 0.60x + -0.20x = 0.4x -8 + 0.4x = 0.30(40) Multiply 0.30 * 40 -8 + 0.4x = 12 Solving -8 + 0.4x = 12 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 + 0.4x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 0.4x = 12 + 8 0.4x = 12 + 8 Combine like terms: 12 + 8 = 20 0.4x = 20 Divide each side by '0.4'. x = 50 Simplifying x = 50
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