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Simplifying 0.6(x + 20) + 80(x + -10) = 46 Reorder the terms: 0.6(20 + x) + 80(x + -10) = 46 (20 * 0.6 + x * 0.6) + 80(x + -10) = 46 (12 + 0.6x) + 80(x + -10) = 46 Reorder the terms: 12 + 0.6x + 80(-10 + x) = 46 12 + 0.6x + (-10 * 80 + x * 80) = 46 12 + 0.6x + (-800 + 80x) = 46 Reorder the terms: 12 + -800 + 0.6x + 80x = 46 Combine like terms: 12 + -800 = -788 -788 + 0.6x + 80x = 46 Combine like terms: 0.6x + 80x = 80.6x -788 + 80.6x = 46 Solving -788 + 80.6x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '788' to each side of the equation. -788 + 788 + 80.6x = 46 + 788 Combine like terms: -788 + 788 = 0 0 + 80.6x = 46 + 788 80.6x = 46 + 788 Combine like terms: 46 + 788 = 834 80.6x = 834 Divide each side by '80.6'. x = 10.34739454 Simplifying x = 10.34739454
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