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Simplifying 0.5x + -0.4(20 + x) = 0.05(20) 0.5x + (20 * -0.4 + x * -0.4) = 0.05(20) 0.5x + (-8 + -0.4x) = 0.05(20) Reorder the terms: -8 + 0.5x + -0.4x = 0.05(20) Combine like terms: 0.5x + -0.4x = 0.1x -8 + 0.1x = 0.05(20) Multiply 0.05 * 20 -8 + 0.1x = 1 Solving -8 + 0.1x = 1 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 + 0.1x = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 0.1x = 1 + 8 0.1x = 1 + 8 Combine like terms: 1 + 8 = 9 0.1x = 9 Divide each side by '0.1'. x = 90 Simplifying x = 90
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