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Simplifying 0.6x + -0.5(20 + x) = 0.1(20) 0.6x + (20 * -0.5 + x * -0.5) = 0.1(20) 0.6x + (-10 + -0.5x) = 0.1(20) Reorder the terms: -10 + 0.6x + -0.5x = 0.1(20) Combine like terms: 0.6x + -0.5x = 0.1x -10 + 0.1x = 0.1(20) Multiply 0.1 * 20 -10 + 0.1x = 2 Solving -10 + 0.1x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 0.1x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 0.1x = 2 + 10 0.1x = 2 + 10 Combine like terms: 2 + 10 = 12 0.1x = 12 Divide each side by '0.1'. x = 120 Simplifying x = 120
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