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Simplifying 0.8x + -0.1(20 + -2x) = -0.5(x + -8) 0.8x + (20 * -0.1 + -2x * -0.1) = -0.5(x + -8) 0.8x + (-2 + 0.2x) = -0.5(x + -8) Reorder the terms: -2 + 0.8x + 0.2x = -0.5(x + -8) Combine like terms: 0.8x + 0.2x = 1x -2 + 1x = -0.5(x + -8) Reorder the terms: -2 + 1x = -0.5(-8 + x) -2 + 1x = (-8 * -0.5 + x * -0.5) -2 + 1x = (4 + -0.5x) Solving -2 + 1x = 4 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. -2 + 1x + 0.5x = 4 + -0.5x + 0.5x Combine like terms: 1x + 0.5x = 1.5x -2 + 1.5x = 4 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -2 + 1.5x = 4 + 0.0 -2 + 1.5x = 4 Add '2' to each side of the equation. -2 + 2 + 1.5x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 1.5x = 4 + 2 1.5x = 4 + 2 Combine like terms: 4 + 2 = 6 1.5x = 6 Divide each side by '1.5'. x = 4 Simplifying x = 4
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