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Simplifying 0.5x + -0.2(10 + x) = 0.2(20) 0.5x + (10 * -0.2 + x * -0.2) = 0.2(20) 0.5x + (-2 + -0.2x) = 0.2(20) Reorder the terms: -2 + 0.5x + -0.2x = 0.2(20) Combine like terms: 0.5x + -0.2x = 0.3x -2 + 0.3x = 0.2(20) Multiply 0.2 * 20 -2 + 0.3x = 4 Solving -2 + 0.3x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 0.3x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 0.3x = 4 + 2 0.3x = 4 + 2 Combine like terms: 4 + 2 = 6 0.3x = 6 Divide each side by '0.3'. x = 20 Simplifying x = 20
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