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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 = 7 0.1x = 7 Divide each side by '0.1'. x = 70 Simplifying x = 70
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