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Simplifying -0.04(5x + -8) = 0.08(10x + -1) Reorder the terms: -0.04(-8 + 5x) = 0.08(10x + -1) (-8 * -0.04 + 5x * -0.04) = 0.08(10x + -1) (0.32 + -0.2x) = 0.08(10x + -1) Reorder the terms: 0.32 + -0.2x = 0.08(-1 + 10x) 0.32 + -0.2x = (-1 * 0.08 + 10x * 0.08) 0.32 + -0.2x = (-0.08 + 0.8x) Solving 0.32 + -0.2x = -0.08 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 0.32 + -0.2x + -0.8x = -0.08 + 0.8x + -0.8x Combine like terms: -0.2x + -0.8x = -1x 0.32 + -1x = -0.08 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 0.32 + -1x = -0.08 + 0.0 0.32 + -1x = -0.08 Add '-0.32' to each side of the equation. 0.32 + -0.32 + -1x = -0.08 + -0.32 Combine like terms: 0.32 + -0.32 = 0.00 0.00 + -1x = -0.08 + -0.32 -1x = -0.08 + -0.32 Combine like terms: -0.08 + -0.32 = -0.4 -1x = -0.4 Divide each side by '-1'. x = 0.4 Simplifying x = 0.4
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