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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 = -0.6x -0.32 + -0.6x = -0.08 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -0.32 + -0.6x = -0.08 + 0.0 -0.32 + -0.6x = -0.08 Add '0.32' to each side of the equation. -0.32 + 0.32 + -0.6x = -0.08 + 0.32 Combine like terms: -0.32 + 0.32 = 0.00 0.00 + -0.6x = -0.08 + 0.32 -0.6x = -0.08 + 0.32 Combine like terms: -0.08 + 0.32 = 0.24 -0.6x = 0.24 Divide each side by '-0.6'. x = -0.4 Simplifying x = -0.4
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