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Simplifying 0.4x + -8 = 20 + 0.75x Reorder the terms: -8 + 0.4x = 20 + 0.75x Solving -8 + 0.4x = 20 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. -8 + 0.4x + -0.75x = 20 + 0.75x + -0.75x Combine like terms: 0.4x + -0.75x = -0.35x -8 + -0.35x = 20 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 -8 + -0.35x = 20 + 0.00 -8 + -0.35x = 20 Add '8' to each side of the equation. -8 + 8 + -0.35x = 20 + 8 Combine like terms: -8 + 8 = 0 0 + -0.35x = 20 + 8 -0.35x = 20 + 8 Combine like terms: 20 + 8 = 28 -0.35x = 28 Divide each side by '-0.35'. x = -80 Simplifying x = -80
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